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.

Razani A., Tornatore E. (2024). Solutions for nonhomogeneous degenerate quasilinear anisotropic problems. CONSTRUCTIVE MATHEMATICAL ANALYSIS, 7(3), 134-149 [10.33205/cma.1504337].

Solutions for nonhomogeneous degenerate quasilinear anisotropic problems

Tornatore E.
2024-09-15

Abstract

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.
15-set-2024
Settore MATH-03/A - Analisi matematica
Razani A., Tornatore E. (2024). Solutions for nonhomogeneous degenerate quasilinear anisotropic problems. CONSTRUCTIVE MATHEMATICAL ANALYSIS, 7(3), 134-149 [10.33205/cma.1504337].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/664304
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