Topological and Variational Methods for Nonlinear Boundary Value Problems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Topological and Variational Methods for Nonlinear Boundary Value Problems write by Pavel Drabek. This book was released on 1997-04-17. Topological and Variational Methods for Nonlinear Boundary Value Problems available in PDF, EPUB and Kindle. In the rapidly developing area of nonlinear theory of differential equations, many important results have been obtained by the use of nonlinear functional analysis based on topological and variational methods. The survey papers presented in this volume represent the current state of the art in the subject. The methods outlined in this book can be used to obtain new results concerning the existence, uniqueness, multiplicity, and bifurcation of the solutions of nonlinear boundary value problems for ordinary and partial differential equations. The contributions to this volume are from well known mathematicians, and every paper contained in this book can serve both as a source of reference for researchers working in differential equations and as a starting point for those wishing to pursue research in this direction. With research reports in the field typically scattered in many papers within various journals, this book provides the reader with recent results in an accessible form.
Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems
Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems write by Dumitru Motreanu. This book was released on 2013-11-19. Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems available in PDF, EPUB and Kindle. This book focuses on nonlinear boundary value problems and the aspects of nonlinear analysis which are necessary to their study. The authors first give a comprehensive introduction to the many different classical methods from nonlinear analysis, variational principles, and Morse theory. They then provide a rigorous and detailed treatment of the relevant areas of nonlinear analysis with new applications to nonlinear boundary value problems for both ordinary and partial differential equations. Recent results on the existence and multiplicity of critical points for both smooth and nonsmooth functional, developments on the degree theory of monotone type operators, nonlinear maximum and comparison principles for p-Laplacian type operators, and new developments on nonlinear Neumann problems involving non-homogeneous differential operators appear for the first time in book form. The presentation is systematic, and an extensive bibliography and a remarks section at the end of each chapter highlight the text. This work will serve as an invaluable reference for researchers working in nonlinear analysis and partial differential equations as well as a useful tool for all those interested in the topics presented.
Variational and Non-variational Methods in Nonlinear Analysis and Boundary Value Problems
Variational and Non-variational Methods in Nonlinear Analysis and Boundary Value Problems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Variational and Non-variational Methods in Nonlinear Analysis and Boundary Value Problems write by Dumitru Motreanu. This book was released on 2003-05-31. Variational and Non-variational Methods in Nonlinear Analysis and Boundary Value Problems available in PDF, EPUB and Kindle. 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.
Topological Methods For Set-valued Nonlinear Analysis
Topological Methods For Set-valued Nonlinear Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Topological Methods For Set-valued Nonlinear Analysis write by Enayet U Tarafdar. This book was released on 2008-02-22. Topological Methods For Set-valued Nonlinear Analysis available in PDF, EPUB and Kindle. This book provides a comprehensive overview of the authors' pioneering contributions to nonlinear set-valued analysis by topological methods. The coverage includes fixed point theory, degree theory, the KKM principle, variational inequality theory, the Nash equilibrium point in mathematical economics, the Pareto optimum in optimization, and applications to best approximation theory, partial equations and boundary value problems.Self-contained and unified in presentation, the book considers the existence of equilibrium points of abstract economics in topological vector spaces from the viewpoint of Ky Fan minimax inequalities. It also provides the latest developments in KKM theory and degree theory for nonlinear set-valued mappings.
Noncoercive Variational Problems and Related Results
Noncoercive Variational Problems and Related Results - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Noncoercive Variational Problems and Related Results write by Daniel Goeleven. This book was released on 1996-10-10. Noncoercive Variational Problems and Related Results available in PDF, EPUB and Kindle. In establishing a general theory of the existence of solutions for noncoercive variational problems and constrained problems formulated as variational inequalities or hemivariational inequalities, this Research Note illustrates recent mathematical approaches and results with various examples from mathematics and mechanics. The book unifies ideas for the treatment of various noncoercive problems and provides previously unpublished results for variational inequalities and hemivariational inequalities. The author points out important applications in mechanics and their mathfematical tratment using recession tools. This book will be of particular interest to researchers in pure and aplied mathematics and mechanics.
