The obstacle problem for nonlinear noncoercive elliptic equations with L1 $L^{1}$-data

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 $q>1$.

Bibliographic Details
Main Authors: Jun Zheng, Leandro S. Tavares
Format: Article
Language:English
Published: SpringerOpen 2019-03-01
Series:Boundary Value Problems
Subjects:
Obstacle problem
Noncoercive elliptic equation
L 1 $L^{1}$ -data
Entropy solution
Online Access:http://link.springer.com/article/10.1186/s13661-019-1168-2

Internet

http://link.springer.com/article/10.1186/s13661-019-1168-2

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