Strongly nonlinear elliptic variational unilateral problems in Orlicz space
نویسندگان
چکیده
منابع مشابه
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...
متن کاملRenormalized 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...
متن کاملOrlicz 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], [...
متن کاملVariational Methods for Nonlinear Elliptic Eigenvalue Problems
In the present note, we give a simple general proof for the existence of solutions of the following two types of variational problems: PROBLEM A. To minimize fa F(x> u, • • • , Du)dx over a subspace VofW>*(tt). PROBLEM B. TO minimize ƒ« F(x, w, • • • , Du)dx for u in V with / a G(x, u, • • • , D^u)dx^c. The solution of the first problem yields a weak solution of a corresponding elliptic boundar...
متن کاملAn Orlicz-sobolev Space Setting for Quasilinear Elliptic Problems
In this paper we give two existence theorems for a class of elliptic problems in an Orlicz-Sobolev space setting concerning both the sublinear and the superlinear case with Neumann boundary conditions. We use the classical critical point theory with the Cerami (PS)-condition.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Abstract and Applied Analysis
سال: 2006
ISSN: 1085-3375,1687-0409
DOI: 10.1155/aaa/2006/46867