3 papers
math.AP2021
Mountain pass solutions to equations with subcritical Musielak-Orlicz-Sobolev growth
Allami Benyaiche, Ismail Khlifi
In this paper, we prove the existence of solutions to quasilinear elliptic equations on a bounded domain of under subcritical Musielak-Orlicz-Sobolev growth. Our proofs rely…
math.AP2021
PWB-method and Wiener criterion for boundary regularity under generalized Orlicz growth
Allami Benyaiche, Ismail Khlifi
Perron's method and Wiener's criterion have entirely solved the Dirichlet problem for the Laplace equation. Since then, this approach has attracted the attention of many mathematic…
math.AP2020
Wolff potential estimates for supersolutions of equations with generalized Orlicz growth
Allami Benyaiche, Ismail Khlifi
In this paper, we establish pointwise estimates for supersolutions of quasilinear elliptic equations with structural conditions involving a generalized Orlicz growth in terms of a…