Multiplicity Results for an Anisotropic Equation with Subcritical or Critical Growth

DOI10.1515/ans-2015-0206zbMath1329.35135OpenAlexW2510115197MaRDI QIDQ5499616

João R. Santos Júnior, Giovany M. Figueiredo, Antonio Suárez

Publication date: 30 July 2015

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://idus.us.es/handle/11441/47890

zbMATH Keywords

critical growthgenus theoryanisotropic operator

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Degenerate elliptic equations (35J70)

Related Items (14)

On a class of critical double phase problems ⋮ Nonexistence of nontrivialweak solutions for anisotropic elliptic problems ⋮ Unnamed Item ⋮ The asymptotic behavior for anisotropic parabolic p‐Laplacian equations ⋮ Critical quasilinear elliptic problems using concave-convex nonlinearities ⋮ Existence of infinitely many solutions for an anisotropic equation using genus theory ⋮ Entire weak solutions for an anisotropic equation in the Heisenberg group ⋮ Nonstandard competing anisotropic \((p,q)\)-Laplacians with convolution ⋮ A positive solution for an anisotropic \((p,q)\)-Laplacian ⋮ Existence and multiplicity of solutions for a class of critical anisotropic elliptic equations of Schrödinger–Kirchhoff‐type ⋮ An existence result for a singular-regular anisotropic system ⋮ Unnamed Item ⋮ A critical anisotropic problem with discontinuous nonlinearities ⋮ Some existence results for a nonlocal non-isotropic problem

Cites Work

• Nonlinear eigenvalues for anisotropic quasilinear degenerate elliptic equations
• On some anisotropic reaction-diffusion systems with \(L^{1}\)-data modeling the propagation of an epidemic disease
• Renormalized solutions of an anisotropic reaction-diffusion-advection system with \(L^1\) data
• On the theory of embedding of anisotropic Sobolev spaces
• ON IMBEDDING, CONTINUATION AND APPROXIMATION THEOREMS FOR DIFFERENTIABLE FUNCTIONS OF SEVERAL VARIABLES

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