strongly nonlinear elliptic variational unilateral problems in orlicz space
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ID: 178761
2006
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Abstract
We will 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)⊂W01LM(Ω) into W−1EM¯(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. The right-hand side f belongs to W−1EM¯(Ω).
| Reference Key |
aharouch2006abstractstrongly
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|---|---|
| Authors | ;L. Aharouch;A. Benkirane;M. Rhoudaf |
| Journal | science and technology of advanced materials |
| Year | 2006 |
| DOI |
10.1155/AAA/2006/46867
|
| URL | |
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