首页|Existence of Solution for a General Class of Strongly Nonlinear Elliptic Problems Having Natural Growth Terms and L1-Data
Existence of Solution for a General Class of Strongly Nonlinear Elliptic Problems Having Natural Growth Terms and L1-Data
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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 W01,p(Ω)into its dual,β maximal monotone mapping such that 0 ∈ β(0),while g(x,s,ζ)is a nonlinear term which has a growth condition with respect to ζ and no growth with respect to s but it satisfies a sign-condition on s.The right hand side f is assumed to belong to L1(Ω).