Mokhtar Naceri

Singular Anisotropic Elliptic Problems with Variable Exponents

abstract:
In this paper, we prove the existence and regularity results of positive solutions for anisotropic elliptic problems with variable exponents and a singular nonlinearity having also a variable exponent.
The functional setting involves anisotropic Sobolev spaces with variable exponents.

Mathematics Subject Classification: 35J75, 35J92

Key words and phrases: Singular problems, anisotropic, elliptic, variable exponents, positive solutions, existence, regularity