{"product_id":"sign-changing-critical-point-theory-9781441945716","title":"Sign-Changing Critical Point Theory","description":"\u003cp\u003e • Author(s): Wenming Zou\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • BISAC: Mathematical Analysis\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003eFrom the Back Cover\u003c\/b\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003eMany 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.\u003c\/p\u003e \u003cp\u003eKey features of this book: \u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003e* Self-contained in-depth treatment of sign-changing critical point theory\u003c\/p\u003e \u003cp\u003e* Further explorations in minimax and Morse theories\u003c\/p\u003e \u003cp\u003e* Topics devoted to linking and nodal solutions, the sign-changing saddle point theory, the generalized Brezis-Nirenberg critical point theorem, the parameter dependence of sign-changing critical points\u003c\/p\u003e \u003cp\u003e* Applications of sign-changing critical point theory studied within the classical symmetric mountain pass theorem\u003c\/p\u003e \u003cp\u003e *Applies sign-changing concepts to Schrödinger equations and boundary value problems\u003c\/p\u003e \u003cp\u003eThis book is intended for advanced graduate students and researchers involved in sign-changing critical point theory, PDEs, global analysis, and nonlinear functional analysis.\u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003eAlso by the author: (with Martin Schechter) \u003cem\u003eCritical Point Theory and Its Applications\u003c\/em\u003e, (c)2006, Springer, ISBN: 978-0-387-32965-9.\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Paperback","offer_id":45274698317975,"sku":"9781441945716","price":7345.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9781441945716.webp?v=1769280697","url":"https:\/\/atlanticbooks.com\/products\/sign-changing-critical-point-theory-9781441945716","provider":"Atlantic Books","version":"1.0","type":"link"}