Dumitru Motreanu & Viorica Venera Motreanu 
Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems 

Ủng hộ
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.
€96.29
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Mục lục

Preface.- Introduction.- Sobolev Spaces.- Nonlinear Operators.- Nonsmooth Analysis.- Degree Theory.- Variational Principles and Critical Point Theory.- Morse Theory.- Bifurcation Theory.- Regularity Theorems and Maximum Principles.- Spectrum of Differential Operators.- Ordinary Differential Equations.- Nonlinear Elliptic Equations with Dirichlet Boundary Conditions.- Nonlinear Elliptic Equations with Neumann Boundary Conditions.- List of Symbols.- References.- Index​.
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Ngôn ngữ Anh ● định dạng PDF ● Trang 459 ● ISBN 9781461493235 ● Kích thước tập tin 4.1 MB ● Nhà xuất bản Springer New York ● Thành phố NY ● Quốc gia US ● Được phát hành 2013 ● Có thể tải xuống 24 tháng ● Tiền tệ EUR ● TÔI 2854616 ● Sao chép bảo vệ DRM xã hội

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