$L^\infty$-regularity result for an obstacle problem with degenerate coercivity in Musielak-Sobolev spaces

	$L^\infty$-regularity result for an obstacle problem with degenerate coercivity in Musielak-Sobolev spaces
International Journal of Nonlinear Analysis and Applications
مقاله 130، دوره 13، شماره 2، مهر 2022، صفحه 1617-1641 اصل مقاله (520.32 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.24213.2691
نویسندگان
Mohamed Bourahma^* ¹؛ Jaouad Bennouna¹؛ Mostafa El Moumni²؛ Abdelmoujib Benkirane¹
¹Laboratory of Mathematical Analysis and Applications (LAMA), Department of Mathematics, Faculty of Sciences Dhar el Mahraz, Sidi Mohamed Ben Abdellah University, PB 1796 Fez, Morocco
²Department of Mathematics, Faculty of Sciences El Jadida, Chouaib Doukkali University, P.O.Box 20, 24000 El Jadida, Morocco
چکیده
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.
کلیدواژه‌ها
$L^infty$-estimates؛ Bounded solutions؛ Unilateral problems؛ Degenerate coercivity
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