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

[21] A priori properties of solutions of nonlinear equations with degenerate coercivity and L1-data
Kovalevsky A.A.
Journal of Mathematical Sciences, 2008, 149 (5) : 1517 - 1538
[22] Nonlinear elliptic equations with lower order terms and L1,λ-data
Cirmi, G. R.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 68 (09) : 2741 - 2749
[23] On 1-Laplacian elliptic problems involving a singular term and an L1-data
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[24] General conditions for limit summability of solutions of nonlinear elliptic equations with L1-data
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NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2006, 64 (08) : 1885 - 1895
[25] Existence and uniqueness of renormalized solutions to nonlinear elliptic equations with variable exponents and L1-data
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Zimmermann, A.
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[26] On Lewy Stampacchia inequalities for a pseudomonotone parabolic obstacle problem with L 1-data
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[27] Elliptic equations with general singular lower order term and measure data
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[28] Existence of a Renormalized Solution of Nonlinear Parabolic Equations with Lower Order Term and General Measure Data
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Bouajaja, A.
Redwane, H.
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2021, 39 (03): : 93 - 114
[29] Existence results for a non-linear obstacle parabolic semicoercive problems with lower order term
Sabiki, H.
Rhoudaf, M.
Elarabi, R.
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2019, 64 (01) : 143 - 170
[30] Renormalized solutions for some boundary value elliptic problem with L1-data in generalized sobolev spaces
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EL Haji, Badr
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BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2025, 43

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