$L^\infty$-regularity result for an obstacle problem with degenerate coercivity in Musielak-Sobolev spaces
نویسندگان
1 Laboratory of Mathematical Analysis and Applications (LAMA), Department of Mathematics, Faculty of Sciences Dhar el Mahraz, Sidi Mohamed Ben Abdellah University, PB 1796 Fez, Morocco
2 Laboratory of Mathematical Analysis and Applications (LAMA), Department of Mathematics, Faculty of Sciences Dhar el Mahraz, Sidi Mohamed Ben Abdellah University, PB 1796 Fez, Morocco
3 Department of Mathematics, Faculty of Sciences El Jadida, Chouaib Doukkali University, P.O.Box 20, 24000 El Jadida, Morocco
4 Laboratory of Mathematical Analysis and Applications (LAMA), Department of Mathematics, Faculty of Sciences Dhar el Mahraz, Sidi Mohamed Ben Abdellah University, PB 1796 Fez, Morocco
doi
10.22075/ijnaa.2022.24213.2691چکیده
Let $\Omega$ be a bounded open subset of $\mathbb{R}^{N},$ $N\geq 2$. In this paper we give an existence result of bounded solution, in Musielak spaces, for unilateral problems associated to the nonlinear elliptic equation $$-\mathop{\rm div}a(x,u,{\nabla}u)+g(x,u,\nabla u)=f \quad\text{in }{\Omega},$$ where the nonlinearity $g$ does not satisfy the well known sign condition and $f$ is an integrable source.
