02309cam a2200277 i 4500 120618s2013 enk b 001 0 eng 9781107029668 110702966X SDU QA329 P434 T 2013 Perera, Kanishka, 192576 Topics in critical point theory / Kanishka Perera, Florida Institute of Technology, Martin Schechter, University of California, Irvine. Cambridge, UK : Cambridge University Press, 2013. 157 p. Cambridge tracts in mathematics ; 198 Machine generated contents note: Preface; 1. Morse theory; 2. Linking; 3. Applications to semilinear problems; 4. Fučík spectrum; 5. Jumping nonlinearities; 6. Sandwich pairs; Appendix: Sobolev spaces; Bibliography; Index. HKBU library YT2025 M10 "This book introduces the reader to powerful methods of critical point theory and details successful contemporary approaches to many problems, some of which had proved resistant to attack by older methods. Topics covered include Morse theory, critical groups, the minimax principle, various notions of linking, jumping nonlinearities and the Fučík spectrum in an abstract setting, sandwich pairs and the cohomological index. Applications to semilinear elliptic boundary value problems, p-Laplacian problems and anisotropic systems are given. Written for graduate students and research scientists, the book includes numerous examples and presents more recent developments in the subject to bring the reader up to date with the latest research"-- "Critical point theory has become a very powerful tool for solving many problems. The theory has enjoyed significant development over the last several years. The impetus for this development is the fact that many new problems could not be solved by the older theory. In this book we present more recent developments in the subject that do not seem to be covered elsewhere, including some results of the authors dealing with nonstandard linking geometries and sandwich pairs"-- Fixed point theory. 192577 MATHEMATICS / Mathematical Analysis. Schechter, Martin. 192579 = C.1 SDU GBE lcc 103768 103768 0 0 lcc 0 QA0329 P434 T2013 0 CGB 284980 SDU SDU GEN3 2025-10-21 2 0 QA329 P434 T 2013 1000377797 2025-10-21 00:00:00 C.1 2025-10-21 GBE