Well-Posedness results for anisotropic nonlinear elliptic equations with variable exponent and 𝘓¹ -data

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DOI:

https://doi.org/10.4067/S0719-06462010000100012

Abstract

We study the anisotropic boundary value problem in Ω, u = 0 on ∂Ω, where Ω is a smooth open bounded domain in â„N (N ≥ 3) and f ∈ L1 (Ω). We prove the existence and uniqueness of an entropy solution for this problem.

Keywords

Anisotropic , variable exponent , entropy solution , electrorheological fluids
  • Stanislas Ouaro Laboratoire d‘Analyse Mathématique des Equations (LAME), UFR. Sciences Exactes et Appliquées, Université de Ouagadougou 03 BP 7021 Ouaga 03 Ouagadougou, Burkina Faso.
  • Pages: 133–148
  • Date Published: 2010-03-01
  • Vol. 12 No. 1 (2010): CUBO, A Mathematical Journal

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Published

2010-03-01

How to Cite

[1]
S. Ouaro, “Well-Posedness results for anisotropic nonlinear elliptic equations with variable exponent and 𝘓¹ -data”, CUBO, vol. 12, no. 1, pp. 133–148, Mar. 2010.

Issue

Vol. 12 No. 1 (2010): CUBO, A Mathematical Journal

Section

Articles