Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems

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Release : 2013-11-19
Genre : Mathematics
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Book Rating : 234/5 ( reviews)

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.

Topological and Variational Methods for Nonlinear Boundary Value Problems

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Release : 1997-04-17
Genre : Mathematics
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Book Rating : 210/5 ( reviews)

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.

Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems

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Release : 2004-07-27
Genre : Mathematics
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Book Rating : 037/5 ( reviews)

Nonsmooth Critical Point Theory and 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 Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems write by Leszek Gasinski. This book was released on 2004-07-27. Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems available in PDF, EPUB and Kindle. Starting in the early 1980s, people using the tools of nonsmooth analysis developed some remarkable nonsmooth extensions of the existing critical point theory. Until now, however, no one had gathered these tools and results together into a unified, systematic survey of these advances. This book fills that gap. It provides a complete presentation of nonsmooth critical point theory, then goes beyond it to study nonlinear second order boundary value problems. The authors do not limit their treatment to problems in variational form. They also examine in detail equations driven by the p-Laplacian, its generalizations, and their spectral properties, studying a wide variety of problems and illustrating the powerful tools of modern nonlinear analysis. The presentation includes many recent results, including some that were previously unpublished. Detailed appendices outline the fundamental mathematical tools used in the book, and a rich bibliography forms a guide to the relevant literature. Most books addressing critical point theory deal only with smooth problems, linear or semilinear problems, or consider only variational methods or the tools of nonlinear operators. Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems offers a comprehensive treatment of the subject that is up-to-date, self-contained, and rich in methods for a wide variety of problems.

Existence and Multiplicity Results for Nonlinear Boundary Value Problems by the Use of Topological and Variational Methods

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Release : 1988
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Book Rating : /5 ( reviews)

Existence and Multiplicity Results for Nonlinear Boundary Value Problems by the Use of Topological and Variational Methods - 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 Existence and Multiplicity Results for Nonlinear Boundary Value Problems by the Use of Topological and Variational Methods write by Alessandro Fonda. This book was released on 1988. Existence and Multiplicity Results for Nonlinear Boundary Value Problems by the Use of Topological and Variational Methods available in PDF, EPUB and Kindle.

Topological Methods in the Study of Boundary Value Problems

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Release : 2013-11-30
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Book Rating : 941/5 ( reviews)

Topological Methods in the Study of 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 Methods in the Study of Boundary Value Problems write by Pablo Amster. This book was released on 2013-11-30. Topological Methods in the Study of Boundary Value Problems available in PDF, EPUB and Kindle. This graduate-level textbook presents representative problems in nonlinear analysis by topological methods. The approach is elementary with simple model equations and applications, allowing students to focus on the application of topological methods.