Resonant (p, 2)-equations with asymmetric reaction

DOI10.1142/S0219530514500134zbMath1327.35125OpenAlexW2035723254MaRDI QIDQ5501918

Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu

Publication date: 14 August 2015

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219530514500134

zbMATH Keywords

critical groupsvariational methodscritical point theoryresonancePicone's identitynonlinear regularity\((p,2)\)-equation

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Resonance in context of PDEs (35B34) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (28)

Infinitely many nodal solutions for nonlinear nonhomogeneous Robin problems ⋮ Nonlinear nonhomogeneous Robin problems with superlinear reaction term ⋮ \((p,2)\)-equations asymmetric at both zero and infinity ⋮ On a class of parametric \((p,2)\)-equations ⋮ Asymmetric \(8(p,2)\)-equations with double resonance ⋮ Multiple solutions for nonlinear nonhomogeneous resonant coercive problems ⋮ Some recent results on the Dirichlet problem for \((p,q)\)-Laplace equations ⋮ Semilinear Robin problems resonant at both zero and infinity ⋮ Existence of constant sign and nodal solutions for a class of (p,q)-Laplacian-Kirchhoff problems ⋮ Multiple solutions for \((p,2)\)-equations with resonance and concave terms ⋮ Nonhomogeneous equations with critical exponential growth and lack of compactness ⋮ Generalized eigenvalues of the (P, 2)-Laplacian under a parametric boundary condition ⋮ Multiple solutions for \((p, 2)\)-equations at resonance ⋮ Multiple solutions with sign information for a class of coercive \((p, 2)\)-equations ⋮ Existence and multiplicity of solutions for resonant \((p,2)\)-equations ⋮ Sign-changing solutions for resonant and superlinear nonhomogeneous elliptic equations ⋮ Positive solutions for nonlinear nonhomogeneous parametric Robin problems ⋮ Noncoercive resonant \((p,2)\)-equations ⋮ Double-phase problems with reaction of arbitrary growth ⋮ Nonlinear Dirichlet problems with double resonance ⋮ Nonlinear nonhomogeneous singular problems ⋮ On a class of superlinear \((p,q)\)-Laplacian type equations on \(\mathbb{R}^N\) ⋮ Solutions and positive solutions for superlinear Robin problems ⋮ Existence and multiplicity of solutions for a class of \((p,q)\)-Laplacian equations in \(\mathbb{R}^N\) with sign-changing potential ⋮ Nodal Solutions for Nonlinear Non-Homogeneous Robin Problems with an Indefinite Potential ⋮ Nonlinear nonhomogeneous boundary value problems with competition phenomena ⋮ Three solutions for parametric problems with nonhomogeneous \((a,2)\)-type differential operators and reaction terms sublinear at zero ⋮ A multiplicity result for a \((p,q)\)-Schrödinger-Kirchhoff type equation

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