The Existence and Uniqueness of an Entropy Solution to Unilateral Orlicz Anisotropic Equations in an Unbounded Domain
Omar Benslimane,
Ahmed Aberqi,
Jaouad Bennouna
Affiliations
Omar Benslimane
Laboratory LAMA, Department of Mathematics, Faculty of Sciences Dhar El Mahraz, B.P 1796 Atlas, Sidi Mohamed Ben Abdellah University, Fez 30050, Morocco
Ahmed Aberqi
Laboratory LAMA, National School of Applied Sciences, Sidi Mohamed Ben Abdellah University, Fez 30050, Morocco
Jaouad Bennouna
Laboratory LAMA, Department of Mathematics, Faculty of Sciences Dhar El Mahraz, B.P 1796 Atlas, Sidi Mohamed Ben Abdellah University, Fez 30050, Morocco
The purpose of this work is to prove the existence and uniqueness of a class of nonlinear unilateral elliptic problem (P) in an arbitrary domain, managed by a low-order term and non-polynomial growth described by an N-uplet of N-function satisfying the Δ2-condition. The source term is merely integrable.
