strongly nonlinear elliptic variational unilateral problems in orlicz space

Clicks: 87
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).
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Journal science and technology of advanced materials
Year 2006
DOI
10.1155/AAA/2006/46867
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