The obstacle problem for non-coercive equations with lower order term and L1-data

被引：0

作者：

Zheng, Jun ^{[1
]}

机构：

[1] Southwest Jiaotong Univ, Sch Math, Chengdu, Sichuan, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2019年

关键词：

Obstacle problem; Non-coercive equation; Entropy solution; L-1-data; Lower order term; ELLIPTIC-EQUATIONS; EXISTENCE;

D O I：

10.1186/s13660-019-2157-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to study the obstacle problem associated with an elliptic operator having degenerate coercivity, 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,W-q(Omega) with some q>1.

引用

页数：15

共 45 条

[1] Entropy solutions for some non-coercive quasilinear p(x)-parabolic equations with L1-data
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[2] Perturbation effects for some nonlinear parabolic equations with lower order term and L1-data
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[3] THE OBSTACLE PROBLEM FOR DEGENERATE ANISOTROPIC ELLIPTIC EQUATIONS WITH VARIABLE EXPONENTS AND L1-DATA
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[4] The obstacle problem for non-coercive equations with lower order term and L1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$L^{1}$\end{document}-data
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Journal of Inequalities and Applications, 2019 (1)
[5] The obstacle problem for nonlinear elliptic equations with variable growth and L1-data
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[7] The obstacle problem for degenerate anisotropic elliptic equations with variable exponents and l1-data
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[8] DIRICHLET PROBLEMS FOR SECOND ORDER LINEAR ELLIPTIC EQUATIONS WITH L1-DATA
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Oh, J. I. S. U.
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[9] ENTROPY SOLUTIONS TO THE OBSTACLE PROBLEM FOR NONLINEAR ELLIPTIC PROBLEMS WITH VARIABLE EXPONENT AND L1-DATA
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[10] SOLVABILITY OF DEGENERATE ANISOTROPIC ELLIPTIC SECOND-ORDER EQUATIONS WITH L1-DATA
Kovalevsky, Alexander A.
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