On a class of nonhomogeneous anisotropic elliptic problem with variable exponents

Allalou, Mouad; El Ouaarabi, Mohamed; Raji, Abderrahmane

doi:10.1007/s12215-024-01100-9

Rend. Circ. Mat. Palermo, II. Ser

2024

DOI: 10.1007/s12215-024-01100-9

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On a class of nonhomogeneous anisotropic elliptic problem with variable exponents

Mouad Allalou,

Mohamed El Ouaarabi,

Abderrahmane Raji

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2024

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Cited by 2 publications

References 30 publications

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Solutions for nonhomogeneous degenerate quasilinear anisotropic problems

Razani,

Tornatore

2024

Constructive Mathematical Analysis

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In this article, we consider a class of nonlinear elliptic problems, where anisotropic leading differential operator incorporates the unbounded coefficients and the nonlinear term is a convection term. We prove the solvability of degenerate Dirichlet problem with convection, i.e. the existence of at least one bounded weak solution via the theory of pseudomonotone operators, Nemytskii-type operator and a priori estimate in the degenerate anisotropic Sobolev spaces.

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Solutions for nonhomogeneous degenerate quasilinear anisotropic problems

Razani,

Tornatore

2024

Constructive Mathematical Analysis

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Optimizing solutions with competing anisotropic (p, q)-Laplacian in hemivariational inequalities

Motreanu,

Razani

2024

Constructive Mathematical Analysis

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For differential inclusions and hemivariational inequalities driven by anisotropic differential operators, we establish the existence of generalized variational solutions and weak solutions. The main novelty consists in allowing that the driving operators might not satisfy any ellipticity condition, which is achieved for the first time in the anisotropic and nonsmooth context. The approach is based on a finite dimensional approximation process.

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On a class of nonhomogeneous anisotropic elliptic problem with variable exponents

Cited by 2 publications

References 30 publications

Solutions for nonhomogeneous degenerate quasilinear anisotropic problems

Solutions for nonhomogeneous degenerate quasilinear anisotropic problems

Optimizing solutions with competing anisotropic (p, q)-Laplacian in hemivariational inequalities

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