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190 tulosta hakusanalla Vincentius Collesso

Singular Elliptic Problems

Singular Elliptic Problems

Marius Ghergu; Vicentiu Radulescu

Oxford University Press Inc
2008
sidottu
This book provides a comprehensive introduction to the mathematical theory of nonlinear problems described by singular elliptic equations. There are carefully analyzed logistic type equations with boundary blow-up solutions and generalized Lane-Emden-Fowler equations or Gierer-Meinhardt systems with singular nonlinearity in anisotropic media. These nonlinear problems appear as mathematical models in various branches of Physics, Mechanics, Genetics, Economics, Engineering, and they are also relevant in Quantum Physics and Differential Geometry. One of the main purposes of this volume is to deduce decay rates for general classes of solutions in terms of estimates of particular problems. Much of the material included in this volume is devoted to the asymptotic analysis of solutions and to the qualitative study of related bifurcation problems. Numerical approximations illustrate many abstract results of this volume. A systematic description of the most relevant singular phenomena described in these lecture notes includes existence (or nonexistence) of solutions, unicity or multiplicity properties, bifurcation and asymptotic analysis, and optimal regularity. The method of presentation should appeal to readers with different backgrounds in functional analysis and nonlinear partial differential equations. All chapters include detailed heuristic arguments providing thorough motivation of the study developed later on in the text, in relationship with concrete processes arising in applied sciences. The book includes an extensive bibliography and a rich index, thus allowing for quick orientation among the vast collection of literature on the mathematical theory of nonlinear singular phenomena
Problems in Real Analysis

Problems in Real Analysis

Teodora-Liliana Radulescu; Vicentiu D. Radulescu; Titu Andreescu

Springer-Verlag New York Inc.
2009
nidottu
Problems in Real Analysis: Advanced Calculus on the Real Axis features a comprehensive collection of challenging problems in mathematical analysis that aim to promote creative, non-standard techniques for solving problems. This self-contained text offers a host of new mathematical tools and strategies which develop a connection between analysis and other mathematical disciplines, such as physics and engineering. A broad view of mathematics is presented throughout; the text is excellent for the classroom or self-study. It is intended for undergraduate and graduate students in mathematics, as well as for researchers engaged in the interplay between applied analysis, mathematical physics, and numerical analysis. Key features: *Uses competition-inspired problems as a platform for training typical inventive skills; *Develops basic valuable techniques for solving problems in mathematical analysis on the real axis and provides solid preparation for deeper study of real analysis; *Includes numerous examples and interesting, valuable historical accounts of ideas and methods in analysis; *Offers a systematic path to organizing a natural transition that bridges elementary problem-solving activity to independent exploration of new results and properties.
Variational Principles in Mathematical Physics, Geometry, and Economics

Variational Principles in Mathematical Physics, Geometry, and Economics

Alexandru Kristály; Vicentiu D. Radulescu; Csaba Varga

Cambridge University Press
2010
sidottu
This comprehensive introduction to the calculus of variations and its main principles also presents their real-life applications in various contexts: mathematical physics, differential geometry, and optimization in economics. Based on the authors' original work, it provides an overview of the field, with examples and exercises suitable for graduate students entering research. The method of presentation will appeal to readers with diverse backgrounds in functional analysis, differential geometry and partial differential equations. Each chapter includes detailed heuristic arguments, providing thorough motivation for the material developed later in the text. Since much of the material has a strong geometric flavor, the authors have supplemented the text with figures to illustrate the abstract concepts. Its extensive reference list and index also make this a valuable resource for researchers working in a variety of fields who are interested in partial differential equations and functional analysis.
What Engineers Know and How They Know It:

What Engineers Know and How They Know It:

Walter G. Vincenti

Johns Hopkins University Press
1993
nidottu
To solve their design problems, engineers draw on a vast body of knowledge about how things work. Examining previously unstudied historical cases, this author shows how engineering knowledge is obtained and presents a model to help explain the growth of such knowledge.
Variational Methods for Nonlocal Fractional Problems

Variational Methods for Nonlocal Fractional Problems

Giovanni Molica Bisci; Vicentiu D. Radulescu; Raffaella Servadei

Cambridge University Press
2016
sidottu
This book provides researchers and graduate students with a thorough introduction to the variational analysis of nonlinear problems described by nonlocal operators. The authors give a systematic treatment of the basic mathematical theory and constructive methods for these classes of nonlinear equations, plus their application to various processes arising in the applied sciences. The equations are examined from several viewpoints, with the calculus of variations as the unifying theme. Part I begins the book with some basic facts about fractional Sobolev spaces. Part II is dedicated to the analysis of fractional elliptic problems involving subcritical nonlinearities, via classical variational methods and other novel approaches. Finally, Part III contains a selection of recent results on critical fractional equations. A careful balance is struck between rigorous mathematics and physical applications, allowing readers to see how these diverse topics relate to other important areas, including topology, functional analysis, mathematical physics, and potential theory.
Variational and Non-variational Methods in Nonlinear Analysis and Boundary Value Problems

Variational and Non-variational Methods in Nonlinear Analysis and Boundary Value Problems

Dumitru Motreanu; Vicentiu D. Radulescu

Springer-Verlag New York Inc.
2003
sidottu
This book reflects a significant part of authors' research activity dur­ ing the last ten years. The present monograph is constructed on the results obtained by the authors through their direct cooperation or due to the authors separately or in cooperation with other mathematicians. All these results fit in a unitary scheme giving the structure of this work. The book is mainly addressed to researchers and scholars in Pure and Applied Mathematics, Mechanics, Physics and Engineering. We are greatly indebted to Viorica Venera Motreanu for the careful reading of the manuscript and helpful comments on important issues. We are also grateful to our Editors of Kluwer Academic Publishers for their professional assistance. Our deepest thanks go to our numerous scientific collaborators and friends, whose work was so important for us. D. Motreanu and V. Radulescu IX Introduction The present monograph is based on original results obtained by the authors in the last decade. This book provides a comprehensive expo­ sition of some modern topics in nonlinear analysis with applications to the study of several classes of boundary value problems. Our framework includes multivalued elliptic problems with discontinuities, variational inequalities, hemivariational inequalities and evolution problems. The treatment relies on variational methods, monotonicity principles, topo­ logical arguments and optimization techniques. Excepting Sections 1 and 3 in Chapter 1 and Sections 1 and 3 in Chapter 2, the material is new in comparison with any other book, representing research topics where the authors contributed. The outline of our work is the following.
Variational and Non-variational Methods in Nonlinear Analysis and Boundary Value Problems

Variational and Non-variational Methods in Nonlinear Analysis and Boundary Value Problems

Dumitru Motreanu; Vicentiu D. Radulescu

Springer-Verlag New York Inc.
2010
nidottu
This book reflects a significant part of authors' research activity dur­ ing the last ten years. The present monograph is constructed on the results obtained by the authors through their direct cooperation or due to the authors separately or in cooperation with other mathematicians. All these results fit in a unitary scheme giving the structure of this work. The book is mainly addressed to researchers and scholars in Pure and Applied Mathematics, Mechanics, Physics and Engineering. We are greatly indebted to Viorica Venera Motreanu for the careful reading of the manuscript and helpful comments on important issues. We are also grateful to our Editors of Kluwer Academic Publishers for their professional assistance. Our deepest thanks go to our numerous scientific collaborators and friends, whose work was so important for us. D. Motreanu and V. Radulescu IX Introduction The present monograph is based on original results obtained by the authors in the last decade. This book provides a comprehensive expo­ sition of some modern topics in nonlinear analysis with applications to the study of several classes of boundary value problems. Our framework includes multivalued elliptic problems with discontinuities, variational inequalities, hemivariational inequalities and evolution problems. The treatment relies on variational methods, monotonicity principles, topo­ logical arguments and optimization techniques. Excepting Sections 1 and 3 in Chapter 1 and Sections 1 and 3 in Chapter 2, the material is new in comparison with any other book, representing research topics where the authors contributed. The outline of our work is the following.
Vocations Explained: Matrimony, Virginity, the Religious State and the Priesthood: Large Print Edition
I. DEFINITION.-EVERY PERSON HAS SOME SPECIAL VOCATION 6 II. NECESSITY OF FOLLOWING A VOCATION 9 III. MATRIMONY-IS IT A VOCATION? 14 IV. MIXED MARRIAGES 19 V. VIRGINITY 25 VI. THE THREE EVANGELICAL COUNSELS 29 1. Poverty 30 2. Perpetual Chastity 31 3. Obedience 33 VII. THE RELIGIOUS STATE 35 VIII. MARKS OF A VOCATION TO THE RELIGIOUS STATE 41 IX. DOUBTS ABOUT A VOCATION TO THE RELIGIOUS STATE 47 X. ENCOURAGING OTHERS TO ENTER THE RELIGIOUS STATE 51 XI. MEANS OF PRESERVING A VOCATION TO THE RELIGIOUS STATE.-SOME OBSTACLES 62 XII. CHILDREN AND THE RELIGIOUS STATE 65 XIII. DUTY OF PARENTS REGARDING THE RELIGIOUS VOCATION OF THEIR CHILDREN 73 XIV. VOCATIONS TO THE PRIESTHOOD 79 XV. DO VOCATIONS TO THE PRIESTHOOD COME DIRECTLY FROM GOD 83 XVI. FOSTERING VOCATIONS TO THE PRIESTHOOD 87 XVII. PREVENTING VOCATIONS TO THE PRIESTHOOD 91 XVIII. MEANS OF KNOWING OUR VOCATION 94 1. Prayer 94 2. Freedom from Sin 96 3. Humility 97 4. Retreat 98 5. Counsel 98 Prayer of St. Bernard 99
Unternehmensgründung

Unternehmensgründung

Thomas Hering; Aurelio Vincenti; Daniel Gerbaulet

de Gruyter Oldenbourg
2018
sidottu
Das Lehrbuch pr sentiert das f r die Durchdringung der Themenfelder "Unternehmensgr ndung" und "Unternehmertum" n tige Wissen und R stzeug, welches zum profunden Studium der Materie und zur Aufrechterhaltung einer leistungsf higen Kultur unternehmerischer Selbstst ndigkeit unabdingbar ist. Die 2. Auflage wurde unter anderem um weitere historische Unternehmerbilder sowie eine neue, zeitgem e dynamische Unternehmerfunktion erweitert.
Nonlinear PDEs

Nonlinear PDEs

Marius Ghergu; Vicentiu RADULESCU

Springer-Verlag Berlin and Heidelberg GmbH Co. K
2011
sidottu
The emphasis throughout the present volume is on the practical application of theoretical mathematical models helping to unravel the underlying mechanisms involved in processes from mathematical physics and biosciences. It has been conceived as a unique collection of abstract methods dealing especially with nonlinear partial differential equations (either stationary or evolutionary) that are applied to understand concrete processes involving some important applications related to phenomena such as: boundary layer phenomena for viscous fluids, population dynamics,, dead core phenomena, etc. It addresses researchers and post-graduate students working at the interplay between mathematics and other fields of science and technology and is a comprehensive introduction to the theory of nonlinear partial differential equations and its main principles also presents their real-life applications in various contexts: mathematical physics, chemistry, mathematical biology, and population genetics. Based on the authors' original work, this volume provides an overview of the field, with examples suitable for researchers but also for graduate students entering research. The method of presentation appeals to readers with diverse backgrounds in partial differential equations and functional analysis. Each chapter includes detailed heuristic arguments, providing thorough motivation for the material developed later in the text. The content demonstrates in a firm way that partial differential equations can be used to address a large variety of phenomena occurring in and influencing our daily lives. The extensive reference list and index make this book a valuable resource for researchers working in a variety of fields and who are interested in phenomena modeled by nonlinear partial differential equations.?
Nonlinear PDEs

Nonlinear PDEs

Marius Ghergu; Vicentiu RADULESCU

Springer-Verlag Berlin and Heidelberg GmbH Co. K
2013
nidottu
The emphasis throughout the present volume is on the practical application of theoretical mathematical models helping to unravel the underlying mechanisms involved in processes from mathematical physics and biosciences. It has been conceived as a unique collection of abstract methods dealing especially with nonlinear partial differential equations (either stationary or evolutionary) that are applied to understand concrete processes involving some important applications related to phenomena such as: boundary layer phenomena for viscous fluids, population dynamics,, dead core phenomena, etc. It addresses researchers and post-graduate students working at the interplay between mathematics and other fields of science and technology and is a comprehensive introduction to the theory of nonlinear partial differential equations and its main principles also presents their real-life applications in various contexts: mathematical physics, chemistry, mathematical biology, and population genetics. Based on the authors' original work, this volume provides an overview of the field, with examples suitable for researchers but also for graduate students entering research. The method of presentation appeals to readers with diverse backgrounds in partial differential equations and functional analysis. Each chapter includes detailed heuristic arguments, providing thorough motivation for the material developed later in the text. The content demonstrates in a firm way that partial differential equations can be used to address a large variety of phenomena occurring in and influencing our daily lives. The extensive reference list and index make this book a valuable resource for researchers working in a variety of fields and who are interested in phenomena modeled by nonlinear partial differential equations.?
Hair Analysis in Clinical and Forensic Toxicology

Hair Analysis in Clinical and Forensic Toxicology

Pascal Kintz; Alberto Salomone; Marco Vincenti

Academic Press Inc
2015
nidottu
Hair Analysis in Clinical and Forensic Toxicology is an essential reference for toxicologists working with, and researching, hair analysis. The text presents a review of the most up-to-date analytical methods in toxicological hair analysis, along with state-of-the-art developments in the areas of hair physiology, sampling, and pre-treatments, as well as discussions of fundamental issues, applications, and results interpretation. Topics addressed include the diagnosis of chronic excessive alcohol drinking by means of ethyl glucuronide (EtG) and fatty acid ethyl esters (FAEE), the early detection of new psychoactive substances, including designer drugs, the development of novel approaches to screening tests based on mass spectrometry, and the detection of prenatal exposure to psychoactive substances from the analysis of newborn hair.