Nontrivial solutions of quasilinear equations via nonsmooth Morse theory

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

Mathematics Subject Classification ID

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

Cites Work

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• Multiplicity of solutions for quasilinear elliptic equations
• Linear and quasilinear elliptic equations
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• Solutions of asymptotically linear operator equations via morse theory

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