Nontrivial solutions of quasilinear equations via nonsmooth Morse theory
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Publication:1358985
DOI10.1006/jdeq.1996.3254zbMath1139.35335OpenAlexW2020262218MaRDI QIDQ1358985
Jean-Noël Corvellec, Marco Degiovanni
Publication date: 1997
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jdeq.1996.3254
Nonlinear boundary value problems for linear elliptic equations (35J65) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20)
Related Items (10)
Critical groups computations on a class of Sobolev Banach spaces via Morse index ⋮ Existence and multiplicity of nontrivial solutions to quasilinear elliptic equations ⋮ Weak solutions of quasilinear elliptic PDE's at resonance ⋮ Three critical points theorem and its application to quasilinear elliptic equations ⋮ Doubly resonant semilinear elliptic problems via nonsmooth critical point theory ⋮ Weak solutions to general Euler's equations via nonsmooth critical point theory ⋮ On topological Morse theory ⋮ On the critical polynomial of functionals related to \(p\)-area (for \(1 < p < \infty\)) and \(p\)-Laplace \((1 < p\leq2)\) type operators ⋮ Existence and multiplicity results for quasilinear elliptic differential systems ⋮ A non-smooth variational approach to differential problems. A case study of non-resonance under the first eigenvalue for a strongly nonlinear elliptic problem
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