1. chinaXiv:201809.00116 [pdf]

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

Jun Zheng
Subjects: Mathematics >> Mathematics （General）

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 $q>1$.

submitted time 2018-09-13 Hits14141， Downloads986， Comment 0