Existence of Solution for a General Class of Strongly Nonlinear Elliptic Problems Having Natural Growth Terms and L^(1)-Data  

作　　者：Youssef Akdim Morad Ouboufettal 

机构地区：[1]LAMA Laboratory,Department of Mathematics,Faculty of Sciences Dhar El Mahraz,University Sidi Mohamed Ben Abdellah,P.O.Box 1796 Atlas Fez,Morocco

出　　处：《Analysis in Theory and Applications》2023年第1期53-68,共16页分析理论与应用（英文刊）

摘　　要：This paper is concerned with the existence of solution for a general class of strongly nonlinear elliptic problems associated with the differential inclusionβ(u)+A(u)+g(x,u,Du)■f,where A is a Leray-Lions operator from W^(1,p)_(0)(Ω)into its dual,βmaximal monotone mapping such that 0∈β(0),while g(x,s,ξ)is a nonlinear term which has a growth condition with respect toξand no growth with respect to s but it satisfies a signcondition on s.The right hand side f is assumed to belong to L^(1)(Ω).

关 键 词：Sobolev spaces Leray-Lions operator trunctions maximal monotone graphe 

分 类 号：O175.25[理学—数学]