existence of entropy solutions for some nonlinear elliptic problems involving variable exponent and measure data
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ID: 156381
2018
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Abstract
In this paper, we study the existence of entropy solutions for some nonlinear $p(x)-$elliptic equation of the type $$Au - \mbox{div }\phi(u) + H(x,u,\nabla u) = \mu,$$ where $A$ is an operator of Leray-Lions type acting from $W_{0}^{1,p(x)}(\Omega)$ into its dual, the strongly nonlinear term $H$ is assumed only to satisfy some nonstandard growth condition with respect to $|\nabla u|,$ here $\>\phi(\cdot)\in C^{0}(I\!\!R,I\!\!R^{N})\>$ and $\mu$ belongs to ${\mathcal{M}}_{0}^{b}(\Omega)$.
| Reference Key |
ahmedatt2018boletimexistence
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|---|---|
| Authors | ;Taghi Ahmedatt;Elhoussine Azroul;Hassane Hjiaj;Abdelfattah Touzani |
| Journal | urban geography |
| Year | 2018 |
| DOI |
10.5269/bspm.v36i2.30581
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| URL | |
| Keywords | Keywords not found |
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