Sign-changing critical point theory /
Zou, Wenming, 1966-
Sign-changing critical point theory / Wenming Zou. - New York ; London : Springer, 2008. - xiii, 278 p. ; 24 cm.
Includes bibliographical references (p. 263-276) and index.
Preliminaries -- Schechter-Tintarev Linking -- Sign-Changing Saddle Point -- On a Brezis-Nirenberg Theorem -- Even Functionals -- Parameter Dependence -- On a Bartsch-Chang-Wang-Weth Theory. 1. 2. 3. 4. 5. 6. 7.
"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.
9780387766577 (hbk.) 038776657X (hbk.)
2008921761
GBA817616 bnb
014519307 Uk
Critical point theory (Mathematical analysis)
QA614.7 / .Z68 2008
514.74
Sign-changing critical point theory / Wenming Zou. - New York ; London : Springer, 2008. - xiii, 278 p. ; 24 cm.
Includes bibliographical references (p. 263-276) and index.
Preliminaries -- Schechter-Tintarev Linking -- Sign-Changing Saddle Point -- On a Brezis-Nirenberg Theorem -- Even Functionals -- Parameter Dependence -- On a Bartsch-Chang-Wang-Weth Theory. 1. 2. 3. 4. 5. 6. 7.
"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.
9780387766577 (hbk.) 038776657X (hbk.)
2008921761
GBA817616 bnb
014519307 Uk
Critical point theory (Mathematical analysis)
QA614.7 / .Z68 2008
514.74