Existence of entropy solutions to nonlinear degenerate parabolic problems with variable exponent and L 1 -data

Existence of entropy solutions to nonlinear degenerate parabolic problems with variable exponent and L 1 -data

In the present paper, we prove existence results of entropy solutions to a class of nonlinear degenerate parabolic p (·)-Laplacian problem with Dirichlet-type boundary conditions and L 1 data. The main tool used here is the Rothe method combined with the theory of variable exponent Sobolev spaces.

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Veröffentlicht in:Communications in Mathematics 2020-06, Vol.28 (1), p.67-88
Hauptverfasser: Sabri, Abdelali, Jamea, Ahmed, Alaoui, Hamad Talibi
Format: Artikel
Sprache:eng
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Zusammenfassung:In the present paper, we prove existence results of entropy solutions to a class of nonlinear degenerate parabolic p (·)-Laplacian problem with Dirichlet-type boundary conditions and L 1 data. The main tool used here is the Rothe method combined with the theory of variable exponent Sobolev spaces.
ISSN:2336-1298
2336-1298
DOI:10.2478/cm-2020-0006