This text addresses the issue of critical points (minima, maxima, and minimax points) of functionals (real-valued functions on various spaces) which arise in many nonlinear problems in the physical and social sciences.
Linking Methods in Critical Point Theory
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Editorial Reviews
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"The main merit of this work is the utmost clearness through which the author explains some subjects connected with very strong technical difficulties... The particular way used...to introduce the basic aspects of linking methods will be very encouraging and stimulating for young researchers... The book may be warmly recommended to all specialists in this fascinating field of current interest and growing importance."
--ZAA
"The book is addressed to mathematicians and students interested in critical points in any context...recommended also for researchers in the fields of pdes and nonlinear analysis... This reviewer calls the attention of the designers of algorithms for determining critical points to this book as a possible theoretical basis for new powerful numerical methods."
--Acta Sci. Math
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Inside This Book
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Key Phrases - Statistically Improbable Phrases (SIPs):
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renamed subsequence, three nontrivial solutions, asymptotic resonance, linking subsets, semilinear boundary value problems, jumping nonlinearities, two nontrivial solutions, mountain pass geometry, one nontrivial solution, semilinear elliptic problems, mountain pass lemma, critical point theorems, nonlinear elliptic problems, sequence satisfying, critical point theory, semilinear problems, semilinear elliptic equations, finding critical points, multiplicity results, compact resolvent, linking sets, selfadjoint operator, isolated eigenvalues, elliptic boundary value problems, nonlinear boundary value problems Key Phrases - Capitalized Phrases (CAPs): (learn more)
Introduction In Section New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
renamed subsequence, three nontrivial solutions, asymptotic resonance, linking subsets, semilinear boundary value problems, jumping nonlinearities, two nontrivial solutions, mountain pass geometry, one nontrivial solution, semilinear elliptic problems, mountain pass lemma, critical point theorems, nonlinear elliptic problems, sequence satisfying, critical point theory, semilinear problems, semilinear elliptic equations, finding critical points, multiplicity results, compact resolvent, linking sets, selfadjoint operator, isolated eigenvalues, elliptic boundary value problems, nonlinear boundary value problems Key Phrases - Capitalized Phrases (CAPs): (learn more)
Introduction In Section 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)
This book cites 5
books:
5
books
cite this book:
- Interpolation Spaces (Grundlehren der mathematischen Wissenschaften) by J. Bergh in Back Matter
- A Primer of Nonlinear Analysis (Cambridge Studies in Advanced Mathematics) by Antonio Ambrosetti in Back Matter
- Duality and Perturbation Methods in Critical Point Theory (Cambridge Tracts in Mathematics) by N. Ghoussoub in Back Matter
- Direct Methods in the Calculus of Variations (Applied Mathematical Sciences) by Bernard Dacorogna in Back Matter
- Sobolev spaces, Volume 65 (Pure and Applied Mathematics) by Author Unknown in Back Matter
- Methods in Nonlinear Integral Equations by R. Precup on page 148
- Control Of Nonlinear Distributed Parameter Systems (Lecture Notes in Pure and Applied Mathematics) by Goong Chen on page 251
- Travelling Waves And Periodic Oscillations in Fermi-pasta-ulam Lattices by Alexander Pankov in Back Matter
- Handbook of Differential Equations:Stationary Partial Differential Equations, Volume 2 by Michel Chipot on page 54
- An Introduction to Nonlinear Analysis (Cambridge Studies in Advanced Mathematics) by Martin Schechter in Back Matter
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