Nonlinear unilateral problems in Orlicz spaces

Orlicz Spaces and Nonlinear Elliptic Eigenvalue Problems

Nonlinear elliptic differential equations of order m acting in a space of m dimensions often occupy a special position in more general theories. In this paper we shall study one aspect of this situation. The nonlinear problem under consideration will be the variational approach to eigenvalue problems for nonlinear elliptic partial differential equations as developed by the author in [l], [2], [...

Renormalized Solutions for Strongly Nonlinear Elliptic Problems with Lower Order Terms and Measure Data in Orlicz-Sobolev Spaces

The purpose of this paper is to prove the existence of a renormalized solution of perturbed elliptic problems$ -operatorname{div}Big(a(x,u,nabla u)+Phi(u) Big)+ g(x,u,nabla u) = mumbox{ in }Omega,  $ in the framework of Orlicz-Sobolev spaces without any restriction on the $M$ N-function of the Orlicz spaces, where $-operatorname{div}Big(a(x,u,nabla u)Big)$ is a Leray-Lions operator defined f...

Elliptic Unilateral Problems in Orlicz Space and L 1 Data

In this paper, we shall be concerned with the existence result of Unilateral problem associated to the equations of the form, Au+ g(x, u,∇u) = f, where A is a Leray-Lions operator from its domain D(A) ⊂ W 1 0 LM (Ω) into WEM (Ω). On the nonlinear lower order term g(x, u,∇u), we assume that it is a Carathéodory function having natural growth with respect to |∇u|, and satisfies the sign condition...

Existence of Entropy Solutions for Some Nonlinear Problems in Orlicz Spaces

Polyhedrality in Orlicz Spaces

We present a construction of an Orlicz space admitting a C∞-smooth bump which depends locally on finitely many coordinates, and which is not isomorphic to a subspace of any C(K), K scattered. In view of the related results this space is possibly not isomorphic to a polyhedral space.