Existence of positive eigenfunctions to an anisotropic elliptic operator via the sub-supersolution method

DOI10.1007/s00013-020-01518-4zbMath1464.35138arXiv2004.00466OpenAlexW3081021782MaRDI QIDQ2222870

S. Ciani, Giovany M. Figueiredo, Antonio Suárez

Publication date: 27 January 2021

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.00466

zbMATH Keywords

existence of positive solutionsanisotropic elliptic equations\(p\)-Laplaciansub-supersolution method

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Positive solutions to PDEs (35B09) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (7)

Existence of infinitely many solutions for an anisotropic equation using genus theory ⋮ Entire weak solutions for an anisotropic equation in the Heisenberg group ⋮ The concentration-compactness principle for the nonlocal anisotropic \(p\)-Laplacian of mixed order ⋮ Nonstandard competing anisotropic \((p,q)\)-Laplacians with convolution ⋮ Solutions of an anisotropic elliptic problem involving nonlinear terms ⋮ A positive solution for an anisotropic \((p,q)\)-Laplacian ⋮ Anisotropic nonlocal problem with discontinuous nonlinearities

Cites Work

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• A critical anisotropic problem with discontinuous nonlinearities
• Existence and nonexistence results for anisotropic quasilinear elliptic equations
• Existence results for some anisotropic singular problems via sub-supersolutions
• Eigenvalue problems for anisotropic quasilinear elliptic equations with variable exponent
• Bifurcation Phenomena Associated to the p-Laplace Operator
• Notes on the Stationary p-Laplace Equation
• Solutions to an anisotropic system via sub-supersolution method and Mountain Pass Theorem
• Variational Methods

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