The Obstacle Problem For Nonlinear Degenerate Elliptic Equations with Variable Exponents and L^(1)-Data
作者机构:Department of MathematicsUniversity of AlgiersAlgeria.2 Street Didouche Mourad Algiers.Laboratory LEDPNLHMENS-KoubaAlgeria
出 版 物:《Journal of Partial Differential Equations》 (偏微分方程(英文版))
年 卷 期:2022年第35卷第2期
页 面:101-122页
核心收录:
学科分类:07[理学] 070104[理学-应用数学] 0701[理学-数学]
主 题:Ostacle problem Degenerate Coercivity Variable exponents L^(1)data Truncation function
摘 要:The aim of this paper is to study the obstacle problem associated with an elliptic operator having degenerate coercivity,and L^(1)-*** functional setting involves Lebesgue-Sobolev spaces with variable *** prove the existence of an entropy solution and show its continuous dependence on the L^(1)-data in W^(1.q(-))(Ω)with some q(.)1.