Existence and multiplicity results for quasilinear elliptic differential systems

DOI10.1080/03605300008821510zbMath0942.35068OpenAlexW1571927898MaRDI QIDQ4947023

Gazzola, Filippo, Gianni Arioli

Publication date: 27 July 2000

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605300008821510

zbMATH Keywords

Palais-Smale conditionindex theorycompact Lie groupmountain pass geometrynonsmooth critical point

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Variational methods for elliptic systems (35J50) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38)

Related Items (8)

Nontrivial solutions for a class of gradient-type quasilinear elliptic systems ⋮ Existence of nontrivial solutions for quasilinear elliptic equations at critical growth ⋮ Perturbed \(S^1\)-symmetric Hamiltonian systems ⋮ Multiplicity results for an eigenvalue problem for hemivariational inequalities in strip-like domains ⋮ Existence and multiplicity results for a class of coupled quasilinear elliptic systems of gradient type ⋮ Multiple solutions for coupled gradient-type quasilinear elliptic systems with supercritical growth ⋮ Existence of critical points for noncoercive functionals with critical Sobolev exponent ⋮ 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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• Critical points for multiple integrals of the calculus of variations
• Multiple solutions of differential equations without the Palais-Smale condition
• Critical point theory for indefinite functionals with symmetries
• Multiplicity of solutions for quasilinear elliptic equations
• Almost everywhere convergence of the gradients of solutions to elliptic and parabolic equations
• Almost everywhere convergence of gradients of solutions to nonlinear elliptic systems

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