Existence of solutions for some nonlinear elliptic unilateral problems with measure data
In this paper we prove the existence of entropy solution to unilateral problems associated to the equations of the type: $Au-div(\phi(u))=\mu\in L^{1}(\Omega)+W^{-1,p'(x)}(\Omega)$, where $A$ is a Leray-Lions operator acted from $W_{0}^{1,p(x)}(\Omega)$ into its dual $W^{-1,p(x)}(\Omega)$ and $...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
University of Szeged
2013-07-01
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Series: | Electronic Journal of Qualitative Theory of Differential Equations |
Subjects: | |
Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=2018 |
Summary: | In this paper we prove the existence of entropy solution to unilateral problems associated to the equations of the type: $Au-div(\phi(u))=\mu\in L^{1}(\Omega)+W^{-1,p'(x)}(\Omega)$, where $A$ is a Leray-Lions operator acted from $W_{0}^{1,p(x)}(\Omega)$ into its dual $W^{-1,p(x)}(\Omega)$ and $\phi\in C^{0}(R,R^{N})$. |
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ISSN: | 1417-3875 |