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Book Nonlinear Operators and the Calculus of Variations

Download or read book Nonlinear Operators and the Calculus of Variations written by J. P. Gossez and published by . This book was released on 2014-01-15 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Nonlinear Operators and the Calculus of Variations

Download or read book Nonlinear Operators and the Calculus of Variations written by J.P. Gossez and published by Springer. This book was released on 2006-11-14 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Variational Method and Method of Monotone Operators in the Theory of Nonlinear Equations

Download or read book Variational Method and Method of Monotone Operators in the Theory of Nonlinear Equations written by Mordukhaĭ Moiseevich Vaĭnberg and published by John Wiley & Sons. This book was released on 1974 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book NONLINEAR OPERATORS AND THE CALCULUS OF VARIATIONS  LECTURE NOTES OF 5 SERIES OF LECTURES PRESENTED AT A SUMMER SCHOOL  UNIVERSITE LIBRE DE BRUXELLES

Download or read book NONLINEAR OPERATORS AND THE CALCULUS OF VARIATIONS LECTURE NOTES OF 5 SERIES OF LECTURES PRESENTED AT A SUMMER SCHOOL UNIVERSITE LIBRE DE BRUXELLES written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Nonlinear Operators and the Calculus of Variations

Download or read book Nonlinear Operators and the Calculus of Variations written by Robert P. Langlands and published by . This book was released on 1976 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Harnack Inequalities and Nonlinear Operators

Download or read book Harnack Inequalities and Nonlinear Operators written by Vincenzo Vespri and published by Springer Nature. This book was released on 2021-05-29 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book contains two contributions about the work of Emmanuele DiBenedetto and a selection of original papers. The authors are some of the main experts in Harnack’s inequalities and nonlinear operators. These papers are part of the contributions presented during the conference to celebrate the 70th birthday of Prof. Emmanuele DiBenedetto, which was held at “Il Palazzone” in Cortona from June 18th to 24th, 2017. The papers are focused on current research topics regarding the qualitative properties of solutions, connections with calculus of variations, Harnack inequality and regularity theory. Some papers are also related to various applications. Many of the authors have shared with Prof. DiBenedetto an intense scientific and personal collaboration, while many others have taken inspiration from and further developed his field of research. The topics of the conference are certainly of great interest for the international mathematical community.

Book Variational Methods in Nonlinear Analysis

Download or read book Variational Methods in Nonlinear Analysis written by Dimitrios C. Kravvaritis and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-04-06 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This well-thought-out book covers the fundamentals of nonlinear analysis, with a particular focus on variational methods and their applications. Starting from preliminaries in functional analysis, it expands in several directions such as Banach spaces, fixed point theory, nonsmooth analysis, minimax theory, variational calculus and inequalities, critical point theory, monotone, maximal monotone and pseudomonotone operators, and evolution problems.

Book

    Book Details:
  • Author : V. M. Filippov
  • Publisher : American Mathematical Soc.
  • Release : 1989-12-31
  • ISBN : 9780821898246
  • Pages : 260 pages

Download or read book written by V. M. Filippov and published by American Mathematical Soc.. This book was released on 1989-12-31 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops a variational method for solving linear equations with $B$-symmetric and $B$-positive operators and generalizes the method to nonlinear equations with nonpotential operators. The author carries out a constructive extension of the variational method to ``nonvariational'' equations (including parabolic equations) in classes of functionals which differ from the Euler-Lagrange functionals. In this connection, some new functions spaces are considered. Intended for mathematicians working in the areas of functional analysis and differential equations, this book would also prove useful for researchers in other areas and students in advanced courses who use variational methods in solving linear and nonlinear boundary value problems in continuum mechanics and theoretical physics.

Book Variational Methods for Potential Operator Equations

Download or read book Variational Methods for Potential Operator Equations written by Jan H. Chabrowski and published by Walter de Gruyter. This book was released on 2011-06-24 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level. The series de Gruyter Studies in Mathematics was founded ca. 30 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel with the aim to establish a series of monographs and textbooks of high standard, written by scholars with an international reputation presenting current fields of research in pure and applied mathematics. While the editorial board of the Studies has changed with the years, the aspirations of the Studies are unchanged. In times of rapid growth of mathematical knowledge carefully written monographs and textbooks written by experts are needed more than ever, not least to pave the way for the next generation of mathematicians. In this sense the editorial board and the publisher of the Studies are devoted to continue the Studies as a service to the mathematical community. Please submit any book proposals to Niels Jacob.

Book Nonlinear operators and the calculus of variations

Download or read book Nonlinear operators and the calculus of variations written by J. P. Gossez and published by . This book was released on 1976 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book An Introduction to Nonlinear Analysis  Applications

Download or read book An Introduction to Nonlinear Analysis Applications written by Zdzislaw Denkowski and published by Springer Science & Business Media. This book was released on 2003-01-31 with total page 844 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an exposition of the main applications of Nonlinear Analysis, beginning with a chapter on Nonlinear Operators and Fixed Points, a connecting point and bridge from Nonlinear Analysis theory to its applications. The topics covered include applications to ordinary and partial differential equations, optimization, optimal control, calculus of variations and mathematical economics. The presentation is supplemented with the inclusion of many exercises and their solutions.

Book Nonlinear Operators and the Calculus of Variations

Download or read book Nonlinear Operators and the Calculus of Variations written by J. P. Gassez and published by . This book was released on 1976 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Nonlinear Functional Analysis and its Applications

Download or read book Nonlinear Functional Analysis and its Applications written by E. Zeidler and published by Springer Science & Business Media. This book was released on 2013-11-21 with total page 739 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second of a five-volume exposition of the main principles of nonlinear functional analysis and its applications to the natural sciences, economics, and numerical analysis. The presentation is self -contained and accessible to the nonspecialist. Part II concerns the theory of monotone operators. It is divided into two subvolumes, II/A and II/B, which form a unit. The present Part II/A is devoted to linear monotone operators. It serves as an elementary introduction to the modern functional analytic treatment of variational problems, integral equations, and partial differential equations of elliptic, parabolic and hyperbolic type. This book also represents an introduction to numerical functional analysis with applications to the Ritz method along with the method of finite elements, the Galerkin methods, and the difference method. Many exercises complement the text. The theory of monotone operators is closely related to Hilbert's rigorous justification of the Dirichlet principle, and to the 19th and 20th problems of Hilbert which he formulated in his famous Paris lecture in 1900, and which strongly influenced the development of analysis in the twentieth century.

Book Nonlinearity and Functional Analysis

Download or read book Nonlinearity and Functional Analysis written by Melvyn S. Berger and published by Academic Press. This book was released on 1977-10-27 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinearity and Functional Analysis is a collection of lectures that aim to present a systematic description of fundamental nonlinear results and their applicability to a variety of concrete problems taken from various fields of mathematical analysis. For decades, great mathematical interest has focused on problems associated with linear operators and the extension of the well-known results of linear algebra to an infinite-dimensional context. This interest has been crowned with deep insights, and the substantial theory that has been developed has had a profound influence throughout the mathematical sciences. This volume comprises six chapters and begins by presenting some background material, such as differential-geometric sources, sources in mathematical physics, and sources from the calculus of variations, before delving into the subject of nonlinear operators. The following chapters then discuss local analysis of a single mapping and parameter dependent perturbation phenomena before going into analysis in the large. The final chapters conclude the collection with a discussion of global theories for general nonlinear operators and critical point theory for gradient mappings. This book will be of interest to practitioners in the fields of mathematics and physics, and to those with interest in conventional linear functional analysis and ordinary and partial differential equations.

Book Nonlinear Functional Analysis and Applications

Download or read book Nonlinear Functional Analysis and Applications written by Louis B. Rall and published by Elsevier. This book was released on 2014-05-10 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Functional Analysis and Applications provides information pertinent to the fundamental aspects of nonlinear functional analysis and its application. This book provides an introduction to the basic concepts and techniques of this field. Organized into nine chapters, this book begins with an overview of the possibilities for applying ideas from functional analysis to problems in analysis. This text then provides a systematic exposition of several aspects of differential calculus in norms and topological linear spaces. Other chapters consider the various settings in nonlinear functional analysis in which differentials play a significant role. This book discusses as well the generalized inverse for a bounded linear operator, whose range is not necessarily closed. The final chapter deals with the equations of hydrodynamics, which are usually highly nonlinear and difficult to solve. This book is a valuable resource for mathematicians. Readers who are interested in nonlinear functional analysis will also find this book useful.

Book Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems

Download or read book Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems written by Dumitru Motreanu and published by Springer Science & Business Media. This book was released on 2013-11-19 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.