Nonlinear elliptic \(p(u)-\) Laplacian problem with Fourier boundary condition

Stanislas Ouaro; Noufou Sawadogo

doi:10.4067/S0719-06462020000100085

DOI:

https://doi.org/10.4067/S0719-06462020000100085

Abstract

We study a nonlinear elliptic \(p(u)-\) Laplacian problem with Fourier boundary conditions and \(L^1-\) data. The existence and uniqueness results of entropy solutions are established.

Keywords

variable exponent , p(u)âˆ’Laplacian , Young measure , Fourier boundary condition , entropy solution

Stanislas Ouaro Laboratoire de Mathématiques et Informatique (LA.M.I) UFR. Sciences Exactes et Appliquées Université Joseph KI ZERBO 03 BP 7021 Ouaga 03, Ouagadougou, Burkina Faso.
Noufou Sawadogo Laboratoire de Mathématiques et Informatique (LA.M.I) - UFR. Sciences et Techniques, Université Nazi Boni, 01 BP 1091 Bobo 01, Bobo-Dioulasso, Burkina Faso.

Pages: 85–124
Date Published: 2020-04-18
Vol. 22 No. 1 (2020)

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