Devoted to minimax theorems and their applications to partial differential equations, this text presents these theorems in a simple and unified way, starting from a quantitative deformation lemma. Many applications are given to problems dealing with lack of compactness, especially problems with critical exponents and existence of solitary waves. There are also recent results and some unpublished material, such as a treatment of the generalized Kadomtsev-Petviashvili equation.
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"The material is presented in a unified way, and the proofs are concise and elegant... Essentially self-contained."
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Key Phrases - Statistically Improbable Phrases (SIPs):
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fountain theorem, quantitative deformation lemma, linking theorem, mountain pass theorem, antipodal action, symmetric criticality, nontrivial critical point, convex nonlinearities, critical nonlinearities, critical point theory, imbedding theorem, radial solutions, regular value, relative category, topological degree, preceding lemma, homotopy invariance, solitary waves, minimizing sequence Key Phrases - Capitalized Phrases (CAPs): (learn more)
Semilinear Dirichlet, Continuity of the Gateaux New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
fountain theorem, quantitative deformation lemma, linking theorem, mountain pass theorem, antipodal action, symmetric criticality, nontrivial critical point, convex nonlinearities, critical nonlinearities, critical point theory, imbedding theorem, radial solutions, regular value, relative category, topological degree, preceding lemma, homotopy invariance, solitary waves, minimizing sequence Key Phrases - Capitalized Phrases (CAPs): (learn more)
Semilinear Dirichlet, Continuity of the Gateaux New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
24
books
cite this book:
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- Topological Methods, Variational Methods, and Their Applications: Icm 2002 Satelite Conference on Nonlinear Functional Analysis Taiyuan, Shan XI, P.r. ... Conference on Nonlinear Functional Analysis) by H. Brezis on 4 pages
- Nonlinear Analysis and Differential Equations (Progress in Nonlinear Differential Equations and Their Applications) by M.R. Grossinho on page 380, and Back Matter
- An Introduction to Minimax Theorems and Their Applications to Differential Equations (Nonconvex Optimization and Its Applications (closed)) by Maria do Rosário Grossinho on page 50, and page 172
- Handbook of Differential Equations: Ordinary Differential Equations, Volume 2 by A. Canada on page 146
- Set Valued Mappings with Applications in Nonlinear Analysis (Mathematical Analysis and Applications) by Donal O'Regan on page 249
See all 24 books citing this book
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