Affiliation:
1. Ecole Supérieure de Technologie d’Essaouira , B.P. 383 Essaouira El Jadida , Essaouira .
Abstract
Abstract
In the present paper, we show the existence of solutions of some nonlinear inequalities of the form 〈Au + g(x, u,∇ u), v −u〉 ≥〈 f, v −u〉 with gradient constraint that depend on the solution itself, where A is a Leray-Lions operator defined on Orlicz spaces, g is a nonlinearity and f ∈ L
1.
Subject
Applied Mathematics,Control and Optimization,Numerical Analysis,Analysis
Reference13 articles.
1. [1] R. Adams, Sobolev spaces, Pure and Applied Mathematics, 65. Academic Press [A subsidiary of Harcourt Brace Jovanovich, Publishers], New York-London, 1975.
2. [2] A. Atlas, F. Karami and D.Meskine, The Perona-Malik inequality and application to image denoising, Nonlinear Anal. Real World Appl. 18 (2014), 57–68.10.1016/j.nonrwa.2013.11.006
3. [3] A.Benkirane and A. Elmahi, Almost everywhere convergence of the gradients of solutions to elliptic equations in Orlicz spaces and application, Nonlinear Anal. 28 11 (1997), 1769–1784.
4. [4] A. Elmahi and D. Meskine, Non-linear elliptic problems having natural growth and L1data in Orlicz spaces, Ann. Mat. Pura Appl. 184 2 (2005), 161–184.10.1007/s10231-004-0107-7
5. [5] A. Elmahi and D. Meskine, Existence of solutions for elliptic equations having natural growth terms in Orlicz spaces, Abstr. Appl. Anal. 12 (2004), 1031–1045.10.1155/S1085337504403066
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献