Existence of infinitely many solutions for an anisotropic equation using genus theory

DOI10.1002/mma.8264zbMath1529.35272OpenAlexW4220944551MaRDI QIDQ6087615

Abdolrahman Razani, Giovany M. Figueiredo

Publication date: 12 December 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.8264

zbMATH Keywords

anisotropic \((p,q)\)-Laplacian, existence of infinitely many solutions

Mathematics Subject Classification ID

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

Related Items (4)

Nonstandard competing anisotropic \((p,q)\)-Laplacians with convolution ⋮ \(q\)-Laplace equation involving the gradient on general bounded and exterior domains ⋮ Solutions to a \((p_1, \ldots ,p_n)\)-Laplacian problem with Hardy potentials ⋮ Existence of radial weak solutions to Steklov problem involving Leray-Lions type operator

Cites Work

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• Existence of solution for a anisotropic equation with critical exponent.
• Nonlinear eigenvalues for anisotropic quasilinear degenerate elliptic equations
• Remarks on local boundedness and local holder continuity of local weak solutions to anisotropic \(p\)-Laplacian type equations
• A critical anisotropic problem with discontinuous nonlinearities
• On weak solutions of ultraparabolic equations.
• Existence and nonexistence results for anisotropic quasilinear elliptic equations
• Singular solutions of a Hénon equation involving a nonlinear gradient term
• Existence of a mountain pass solution for a nonlocal fractional \((p, q)\)-Laplacian problem
• The sub-supersolution method for a nonhomogeneous elliptic equation involving Lebesgue generalized spaces
• Singular solutions of a \(p\)-Laplace equation involving the gradient
• Existence of positive eigenfunctions to an anisotropic elliptic operator via the sub-supersolution method
• Singular solutions of a Lane-Emden system
• Dual variational methods in critical point theory and applications
• Existence results for some anisotropic singular problems via sub-supersolutions
• Existence of solution to Korteweg-de Vries equation in a non-parabolic domain
• Extremal functions for the anisotropic Sobolev inequalities
• Teoremi di inclusione per spazi di Sobolev non isotropi
• Multiplicity of Solutions for Elliptic Problems with Critical Exponent or with a Nonsymmetric Term
• Infinitely many solutions for $(p(x),q(x))$-Laplacian-like systems
• Solutions to an anisotropic system via sub-supersolution method and Mountain Pass Theorem
• Multiplicity Results for an Anisotropic Equation with Subcritical or Critical Growth
• Twoweak solutions for a singular (p,q)-Laplacian problem

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