Some minimax principles and their applications in nonlinear elliptic equations

DOI10.1007/BF02797687zbMath0462.58016OpenAlexW2091335559MaRDI QIDQ1153395

Wei-Ming Ni

Publication date: 1980

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02797687

zbMATH Keywords

variational methodnonlinear elliptic equationsminimax principles

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational principles in infinite-dimensional spaces (58E30)

Related Items

Gaps of consecutive eigenvalues of Laplace operator and the existence of multiple solutions for superlinear elliptic problem, Positive solutions to Schrödinger-Kirchhoff equations with inverse potential, Ekeland's variational principle and the mountain pass lemma, A deformation lemma and some critical point theorems, On the existence of eigenvalues for some nonlinear elliptic and hyperbolic problems, On the existence of global vortex rings, Critical points of a singular perturbation problem via reduced energy and local linking, Search extension method for multiple solutions of a nonlinear problem, Morse indices at critical points related to the symmetric mountain pass theorem and applications, Some minimax theorems on finding nontrivial critical points and their applications, Multiple solutions of the forced double pendulum equation, On a new notion of linking and application to elliptic problems at resonance, Variational and topological methods in nonlinear problems, Linking and existence results for perturbations of the \(p\)-Laplacian, Extensions of the mountain pass theorem

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