The obstacle problem for nonlinear noncoercive elliptic equations with L1 $L^{1}$-data
Abstract In this paper, we study the obstacle problem governed by nonlinear noncoercive elliptic equations with L1 $L^{1}$-data. We prove the existence of an entropy solution and show its continuous dependence on the L1 $L^{1}$-data in W1,q(Ω) $W^{1,q}(\varOmega )$ with q>1 $q>1$.
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
SpringerOpen
2019-03-01
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Series: | Boundary Value Problems |
Subjects: | |
Online Access: | http://link.springer.com/article/10.1186/s13661-019-1168-2 |