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Sign-changing critical point theory / Wenming Zou.

By: Material type: TextPublication details: New York ; London : Springer, 2008.Description: xiii, 278 p. ; 24 cmISBN:
  • 9780387766577 (hbk.)
  • 038776657X (hbk.)
Subject(s): DDC classification:
  • 514.74 22
LOC classification:
  • QA614.7 .Z68 2008
Contents:
1. Preliminaries -- 2. Schechter-Tintarev Linking -- 3. Sign-Changing Saddle Point -- 4. On a Brezis-Nirenberg Theorem -- 5. Even Functionals -- 6. Parameter Dependence -- 7. On a Bartsch-Chang-Wang-Weth Theory.
Review: "Many nonlinear problems in physics, engineering, biology, and social sciences can be reduced to finding critical points of functionals. While minimax and Morse theories provide answers to many situations and problems on the existence of multiple critical points of a functional, they often cannot provide much-needed additional properties of these critical points. Sign-changing critical point theory has emerged as a new area of rich research on critical points of a differentiable functional with important applications to nonlinear elliptic PDEs." "This book is intended for advanced graduate students and researchers involved in sign-changing critical point theory, PDEs, global analysis, and nonlinear functional analysis."--BOOK JACKET.
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Cover image Item type Current library Home library Collection Shelving location Call number Materials specified Vol info URL Copy number Status Notes Date due Barcode Item holds Item hold queue priority Course reserves
General Books CUTN Central Library Sciences 514.74 (Browse shelf(Opens below)) 1 Available 9090

Includes bibliographical references (p. 263-276) and index.

1. Preliminaries -- 2. Schechter-Tintarev Linking -- 3. Sign-Changing Saddle Point -- 4. On a Brezis-Nirenberg Theorem -- 5. Even Functionals -- 6. Parameter Dependence -- 7. On a Bartsch-Chang-Wang-Weth Theory.

"Many nonlinear problems in physics, engineering, biology, and social sciences can be reduced to finding critical points of functionals. While minimax and Morse theories provide answers to many situations and problems on the existence of multiple critical points of a functional, they often cannot provide much-needed additional properties of these critical points. Sign-changing critical point theory has emerged as a new area of rich research on critical points of a differentiable functional with important applications to nonlinear elliptic PDEs." "This book is intended for advanced graduate students and researchers involved in sign-changing critical point theory, PDEs, global analysis, and nonlinear functional analysis."--BOOK JACKET.

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