The following sections are included:General IntroductionResults and ConditionsConjecture 2 and Sketch of the Proof of Theorem 1; OutlineThe Difference of TopologyOpen ProblemsUnderstand the difference of topologyNon critical asymptotsThe exit set from infinityEstablishing Conjecture 2 and continuous forms ...
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. Key features of this book: (1) Self-contained in-deZou, Wenming 展开 ...
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In addition, if u is a solution of problem (1.7) with u±≠0, then we say that u is a sign-changing solution, where u+(x)=max{u(x),0} and u−(x)=min{u(x),0}. Now we are in the position to present our main result. Theorem 1.1 Assume that (V0) and0<‖f...
Sign-changing solutions for resonant Neumann problems ☆Sign-changing solutionsIndefinite and unbounded potentialResonanceGradient flowConcave nonlinearityWe consider semilinear Neumann problems at resonance. We are concerned with two distinct cases. In the first one, the potential function is unbounded and ...
1) sign-changing linear term 变号线性项1. Positive radial solutions for nonlinear elliptic equations in annular domains with sign-changing linear terms; 环形区域上具有变号线性项的椭圆型方程的正径向解2. In this paper,based on the classical fixed point theorem of cone expansion/compression type ...
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sign-changing solutions for nonlinear elliptic problems depending on parameters 热度: DIRICHLET BOUNDARY VALUE PROBLEMS FOR SECOND-ORDER QUASI-LINEAR DIFFERENTIAL EQUATIONS WITH CHANGING SIGN NONLINEARITIES 热度: 人工智能基础(第2版) x2d;高济 x2d;ai x2d;4 x2d;本 ...
摘要: In Chap.8, we introduce some results on sign-changing solutions of elliptic and p -Laplacian, including using Nehri manifold, invariant sets of descent flows, Morse theory, etc.DOI: 10.1007/978-3-642-30709-6_8 被引量: 1 年份: 2013 ...
He TS, Yang W, Yang FJ: Sign-changing solutions for discrete second-order three-point boundary value problems . Discrete Dyn. Nat. Soc. 2010., 2010: Article ID 705387. :10.1155/2010/705387Sign-changing solutions for discrete second-order three-point boundary value problems. T.S. He,W. ...