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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…mehr

Produktbeschreibung
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.

Dieser Download kann aus rechtlichen Gründen nur mit Rechnungsadresse in A, B, BG, CY, CZ, D, DK, EW, E, FIN, F, GR, HR, H, IRL, I, LT, L, LR, M, NL, PL, P, R, S, SLO, SK ausgeliefert werden.

  • Produktdetails
  • Verlag: Springer-Verlag GmbH
  • Erscheinungstermin: 15.12.2008
  • Englisch
  • ISBN-13: 9780387766584
  • Artikelnr.: 37286323
Inhaltsangabe
Preliminaries.- Schechter-Tintarev Linking.- Sign-Changing Saddle Point.- On a Brezis-Nirenberg Theorem.- Even Functionals.- Parameter Dependence.- On a Bartsch-Chang-Wang-Weth Theory.
Rezensionen
From the reviews: "The book under review presents the contemporary state of the art in critical point theory with strong emphasis on topological methods. ... The volume concludes with a rich bibliography of 351 titles, many of them very recent. ... advanced, examples included in the text form an excellent review of the frontline of actual research in the area. ... In conclusion ... very good reference for those seeking new, modern, and powerful techniques in the critical point theory approach of nonlinear differential and partial differential equations." (Vicentiu Radulescu, Mathematical Reviews, Issue 2009 f)