$W_{0}^{1,1}$ and $L^{\infty}$-solutions of a degenerate elliptic problem with two singularities

G. Rita Cirmi; Salvatore D’Asero; Hichem Khelifi

doi:10.4171/zaa/1841

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$W_{0}^{1, 1}$ and $L^{\infty}$ -solutions of a degenerate elliptic problem with two singularities

G. Rita Cirmi
Università di Catania, Italy
Salvatore D’Asero
Università di Catania, Italy
Hichem Khelifi
University of Algiers Benyoucef Benkhedda, Algeria; École Normale Supérieure, Algiers, Algeria

$$W_{0}^{1,1}$ and $L^{\infty}$-solutions of a degenerate elliptic problem with two singularities cover$

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Abstract

We consider the Dirichlet problem associated with a degenerate elliptic equation featuring both a singular lower-order term and a singular right-hand side. Despite the presence of degeneracy and singularities, we establish some existence results for bounded solutions, as well as existence results for distributional solutions under minimal assumptions on the data.

Cite this article

G. Rita Cirmi, Salvatore D’Asero, Hichem Khelifi, $W_{0}^{1, 1}$ and $L^{\infty}$ -solutions of a degenerate elliptic problem with two singularities. Z. Anal. Anwend. (2026), published online first

DOI 10.4171/ZAA/1841