Existence results for double phase problems depending on Robin and Steklov eigenvalues for the \(p\)-Laplacian

DOI10.1515/anona-2020-0193zbMath1479.35487arXiv2012.03302OpenAlexW3184067933MaRDI QIDQ1983946

Greta Marino, Said El Manouni, Patrick Winkert

Publication date: 10 September 2021

Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.03302

zbMATH Keywords

nonlinear boundary condition\(p\)-LaplacianSteklov eigenvalue problemRobin eigenvalue problemdouble phase operator

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (23)

Inverse problems for a class of elliptic obstacle problems involving multivalued convection term and weighted $(p,q)$-Laplacian ⋮ Existence of solutions for singular double phase problems via the Nehari manifold method ⋮ Double phase obstacle problems with variable exponent ⋮ Double Phase Implicit Obstacle Problems with Convection and Multivalued Mixed Boundary Value Conditions ⋮ Existence, uniqueness and asymptotic behavior of parametric anisotropic \((p, q)\)-equations with convection ⋮ Nonlocal double phase complementarity systems with convection term and mixed boundary conditions ⋮ Identification of discontinuous parameters in double phase obstacle problems ⋮ Multiple solutions for a class of anisotropic \(\vec{p}\)-Laplacian problems ⋮ Solutions with sign information for noncoercive double phase equations ⋮ A double phase problem with a nonlinear boundary condition ⋮ Parametric Robin double phase problems with critical growth on the boundary ⋮ Parametric superlinear double phase problems with singular term and critical growth on the boundary ⋮ Existence and stability of normalized solutions for nonlocal double phase problems ⋮ Positive solutions for singular problems with multivalued convection ⋮ The sub-supersolution method for variable exponent double phase systems with nonlinear boundary conditions ⋮ Inverse problems for anisotropic obstacle problems with multivalued convection and unbalanced growth ⋮ On an anisotropic eigenvalue problem ⋮ Infinitely many low- and high-energy solutions for double phase problems with nonstandard growth ⋮ Multiple solutions for nonlinear boundary value problems of Kirchhoff type on a double phase setting ⋮ On a nonlinear Robin problem with an absorption term on the boundary and \(L^1\) data ⋮ Inverse problems for double-phase obstacle problems with variable exponents ⋮ Singular Finsler double phase problems with nonlinear boundary condition ⋮ Combined effects of singular and superlinear nonlinearities in singular double phase problems in \(\mathbb{R}^N\)

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