scientific article; zbMATH DE number 1494193
From MaRDI portal
Publication:4497346
zbMath0960.58006MaRDI QIDQ4497346
Publication date: 7 May 2001
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
surveyMorse theorycritical points theorysub-solutionssuper-solutionschanging sign solutionsMorse critical groupsmultiple solutions of semilinear elliptic equations
Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Degree theory for nonlinear operators (47H11) Research exposition (monographs, survey articles) pertaining to global analysis (58-02) Variational methods for second-order elliptic equations (35J20)
Related Items
Critical groups computations on a class of Sobolev Banach spaces via Morse index, Multiple nodal solutions for elliptic equations, Ljusternik-Schnirelman theory in partially ordered Hilbert spaces, Amann-Zehnder type results for \(p\)-Laplace problems, The Brezis-Nirenberg type problem for the \(p\)-Laplacian \((1 < p < 2)\): multiple positive solutions, Sign-changing solutions of nonlinear elliptic equations, Existence of multiple solutions of a second-order difference boundary value problem, On the critical polynomial of functionals related to \(p\)-area (for \(1 < p < \infty\)) and \(p\)-Laplace \((1 < p\leq2)\) type operators, The Dirichlet problem with sublinear indefinite nonlinearities, Morse theory for indefinite nonlinear elliptic problems, Towards a Morse theory on Banach spaces via ultrafunctions, Multiple positive solutions for a critical quasilinear equation via Morse theory, On the multiplicity of positive solutions for \(p\)-Laplace equations via Morse theory, Mountain pass theorem in order intervals and multiple solutions for semilinear elliptic Dirichlet problems, Multiple and sign changing solutions of an elliptic eigenvalue problem with constraint., Multiple positive solutions for a p-Laplace Benci–Cerami type problem (1 < p < 2), via Morse theory