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The obstacle problem for non-coercive equations with lower order term and $L^1-$data

Abstracts

The aim of this paper is to study the obstacle problem associated with an elliptic operator having degenerate coercivity, and with a low order term and $L^1-$data. We prove the existence of an entropy solution to the obstacle problem and show its continuous dependence on the $L^{1}-$data in $W^{1,q}(\Omega)$ with some $q>1$.
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From: Jun Zheng
DOI:10.12074/201809.00116
Recommended references: Jun Zheng.(2018).The obstacle problem for non-coercive equations with lower order term and $L^1-$data.[ChinaXiv:201809.00116] (Click&Copy)
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[V1] 2018-09-13 15:33:58 chinaXiv:201809.00116V1 Download
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