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Existence of solutions of degenerated unilateral problems with $L^1$ data

机译:具有$ L ^ 1 $数据的退化单边问题解的存在性

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In this paper, we shall be concerned with the existence result of the Degenerated unilateral problem associated to the equation of the type $Au + g(x, u, abla u) = f - {m div }F,$ where $A$ is a Leray-Lions operator and $g$ is a Carathéodory function having natural growth with respect to $|abla u|$ and satisfying the sign condition. The second term is such that, $fin L^1(Omega )$ and $ Fin Pi _{i=1}^N L^{p^{prime}}(Omega , w_i^{1-p^{prime}})$.
机译:在本文中,我们将关注与类型$ Au + g(x,u, nabla u)= f-{ rm div} F,$的方程相关联的退化单边问题的存在结果。 A $是Leray-Lions运算符,$ g $是Carathéodory函数,相对于$ | nabla u | $具有自然增长并满足符号条件。第二项是这样的:$ f in L ^ 1( Omega)$和$ F in Pi _ {i = 1} ^ NL ^ {p ^ { prime}}( Omega,w_i ^ { 1-p ^ { prime}})$。

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