Solvability of the Dirichlet Problem for Elliptic Equations in Weighted Sobolev Spaces on Unbounded Domains

被引：0

作者：

Serena Boccia

Sara Monsurrò

Maria Transirico

机构：

[1] Università di Salerno,Dipartimento di Matematica e Informatica

来源：

Boundary Value Problems | / 2008卷

关键词：

Weight Function; Differential Operator; Open Subset; Dirichlet Problem; Detailed Account;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This paper is concerned with the study of the Dirichlet problem for a class of second-order linear elliptic equations in weighted Sobolev spaces on unbounded domains of [inline-graphic not available: see fulltext], [inline-graphic not available: see fulltext]. We state a regularity result and we can deduce an existence and uniqueness theorem.

引用

共 50 条

[1] Solvability of the Dirichlet Problem for Elliptic Equations in Weighted Sobolev Spaces on Unbounded Domains
Boccia, Serena
Monsurro, Sara
Transirico, Maria
[J]. BOUNDARY VALUE PROBLEMS, 2008, 2008 (1)
[2] Dirichlet Problem for Elliptic Equations in Weighted Sobolev Spaces on Unbounded Domains
Monsurro, Sara
Transirico, Maria
[J]. AZERBAIJAN JOURNAL OF MATHEMATICS, 2014, 4 (01): : 79 - 91
[3] The Dirichlet problem for elliptic equations in weighted Sobolev spaces on unbounded domains of the plane
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[8] Existence and uniqueness results in weighted spaces for Dirichlet problem in unbounded domains
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[J]. Ricerche di Matematica, 2020, 69 : 343 - 355
[9] Existence and uniqueness results in weighted spaces for Dirichlet problem in unbounded domains
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[J]. RICERCHE DI MATEMATICA, 2020, 69 (01) : 343 - 355
[10] BEHAVIOR OF SOLUTIONS TO DIRICHLET PROBLEM FOR NONLINEAR ELLIPTIC EQUATIONS IN UNBOUNDED DOMAINS
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