Nonsmooth critical point theory and nonlinear elliptic equations at resonance

DOI10.2996/kmj/1138044160zbMath0999.58006OpenAlexW2081191860MaRDI QIDQ1577712

Nikolaos S. Papageorgiou, Nikolaos C. Kourogenis

Publication date: 27 August 2000

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138044160

zbMATH Keywords

existence of solutionsmultiple solutions\(p\)-Laplaciannonlinear elliptic equations at resonancenonsmooth critical point theory of Chang

Mathematics Subject Classification ID

PDEs with multivalued right-hand sides (35R70) 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 (21)

Existence of nontrivial solutions for Kirchhoff-type variational inclusion system in \(\mathbb R^N\) ⋮ Fractional double phase Robin problem involving variable order-exponents without Ambrosetti-Rabinowitz condition ⋮ Generalized Fountain theorem for locally Lipschitz functionals and application ⋮ Nonsmooth version of Fountain theorem and its application to a Dirichlet-type differential inclusion problem ⋮ Existence of solutions for a differential inclusion problem with singular coefficients involving the \(p(x)\)-Laplacian ⋮ Existence and subharmonicity of solutions for nonsmooth \(p\)-Laplacian systems ⋮ A non-trivial solution for a \(p\)-Schrödinger-Kirchhoff-type integro-differential system by non-smooth techniques ⋮ Periodic solutions of second-order differential inclusions systems with \(p(t)\)-Laplacian ⋮ Multiple solutions for a class of differential inclusion system involving the \((p(x), q(x))\)-Laplacian ⋮ An existence theorem for nonlinear hemivariational inequalities at resonance ⋮ Note on a general Palais-Smale condition ⋮ Infinitely many solutions for a non-homogeneous differential inclusion with lack of compactness ⋮ Existence of nonzero weak solutions for a class of elliptic variational inclusions systems in \(\mathbb R^N\) ⋮ Three solutions for a differential inclusion problem involving the \(p(x)\)-Laplacian ⋮ Multiple solutions to a class of \(p(x)\)-biharmonic differential inclusion problem with no-flux boundary condition ⋮ Three solutions for a Neumann-type differential inclusion problem involving the \(p(x)\)-Laplacian ⋮ Infinitely many solutions for a hemivariational inequality involving the \(p(x)\)-Laplacian ⋮ Multiple Solutions for a Differential Inclusion Problem with Nonhomogeneous Boundary Conditions ⋮ Multiplicity result for a class of elliptic problems with non-differentiable terms in \(\mathbb{R}^N\) ⋮ Three symmetric solutions for a differential inclusion system involving the \((p(x),q(x))\)-Laplacian in \(\mathbb R^N\) ⋮ Elliptic differential inclusions on non-compact Riemannian manifolds

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