AbstractWe consider a general class of degenerate elliptic problems of the form Au+g(x,u,Du)=f, where A is a Leray–Lions operator from a weighted Sobolev space into its dual. We assume that g(x,s,ξ) is a Caratheodory function verifying a sign condition and a growth condition on ξ. Existence of renormalized solutions is established in the L1-setting
This article establishes existence, non-existence and Liouville-type theorems for nonlinear equation...
In this paper we study existence and uniqueness of renormalized solution to the following problem $\...
In this paper we study the Dirichlet problem for a class of nonlinear elliptic equations in the form...
This paper is devoted to the study of the existence of solutions to a general elliptic problem Au+g(...
We introduce a new definition of solution for the nonlinear monotone elliptic problem -div(a(cursive...
Abstract. We prove the stability of Dirichlet problems of the type −div (aε(x, uε,∇uε)) = µε, uε = ...
AbstractWe study a general class of nonlinear elliptic problems associated with the differential inc...
We deal with existence and regularity for weak solutions to Dirichlet problems in a bounded domain ...
We study the nonlinear monotone elliptic problem −div (a(x,∇u)) = µ on Ω, u = 0 on ∂Ω, when Ω ⊂ RN,...
Abstract. We prove an existence result for the Dirichlet problem associated to some degenerate quasi...
In this paper, we study the existence of solutions for quasilinear degenerate elliptic equations of ...
This volume is the first to be devoted to the study of various properties of wide classes of degener...
One of the recent advances in the investigation on nonlinear elliptic equations with a measure as fo...
summary:We prove boundedness and continuity for solutions to the Dirichlet problem for the equation ...
We study the degenerate elliptic equation div(a(x)ru) + b(x)u = K(x)jujp2u + g(x) in RN; where N 2 ...
This article establishes existence, non-existence and Liouville-type theorems for nonlinear equation...
In this paper we study existence and uniqueness of renormalized solution to the following problem $\...
In this paper we study the Dirichlet problem for a class of nonlinear elliptic equations in the form...
This paper is devoted to the study of the existence of solutions to a general elliptic problem Au+g(...
We introduce a new definition of solution for the nonlinear monotone elliptic problem -div(a(cursive...
Abstract. We prove the stability of Dirichlet problems of the type −div (aε(x, uε,∇uε)) = µε, uε = ...
AbstractWe study a general class of nonlinear elliptic problems associated with the differential inc...
We deal with existence and regularity for weak solutions to Dirichlet problems in a bounded domain ...
We study the nonlinear monotone elliptic problem −div (a(x,∇u)) = µ on Ω, u = 0 on ∂Ω, when Ω ⊂ RN,...
Abstract. We prove an existence result for the Dirichlet problem associated to some degenerate quasi...
In this paper, we study the existence of solutions for quasilinear degenerate elliptic equations of ...
This volume is the first to be devoted to the study of various properties of wide classes of degener...
One of the recent advances in the investigation on nonlinear elliptic equations with a measure as fo...
summary:We prove boundedness and continuity for solutions to the Dirichlet problem for the equation ...
We study the degenerate elliptic equation div(a(x)ru) + b(x)u = K(x)jujp2u + g(x) in RN; where N 2 ...
This article establishes existence, non-existence and Liouville-type theorems for nonlinear equation...
In this paper we study existence and uniqueness of renormalized solution to the following problem $\...
In this paper we study the Dirichlet problem for a class of nonlinear elliptic equations in the form...
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