On the regularity and existence of weak solutions for a class of degenerate singular elliptic problem

Prashanta Garain

doi:10.1007/s00229-023-01504-4

On the regularity and existence of weak solutions for a class of degenerate singular elliptic problem

Prashanta Garain

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

In this article, we consider a class of degenerate singular problems. The degeneracy is captured by the presence of a class of p-admissible weights, which may vanish or blow up near the origin. Further, the singularity is allowed to vary inside the domain. We provide sufficient conditions on the weight function, on the singular exponent and the source function to establish regularity and existence results.

Original language	English
Pages (from-to)	141-158
Number of pages	18
Journal	Manuscripta Mathematica
Volume	174
Issue number	1-2
DOIs	https://doi.org/10.1007/s00229-023-01504-4
State	Published - 1 May 2024
Externally published	Yes

Keywords

35D30
35J70
35J75
35J92

ASJC Scopus subject areas

General Mathematics

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10.1007/s00229-023-01504-4

Cite this

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abstract = "In this article, we consider a class of degenerate singular problems. The degeneracy is captured by the presence of a class of p-admissible weights, which may vanish or blow up near the origin. Further, the singularity is allowed to vary inside the domain. We provide sufficient conditions on the weight function, on the singular exponent and the source function to establish regularity and existence results.",

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PY - 2024/5/1

Y1 - 2024/5/1

N2 - In this article, we consider a class of degenerate singular problems. The degeneracy is captured by the presence of a class of p-admissible weights, which may vanish or blow up near the origin. Further, the singularity is allowed to vary inside the domain. We provide sufficient conditions on the weight function, on the singular exponent and the source function to establish regularity and existence results.

AB - In this article, we consider a class of degenerate singular problems. The degeneracy is captured by the presence of a class of p-admissible weights, which may vanish or blow up near the origin. Further, the singularity is allowed to vary inside the domain. We provide sufficient conditions on the weight function, on the singular exponent and the source function to establish regularity and existence results.

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KW - 35J70

KW - 35J75

KW - 35J92

UR - https://www.scopus.com/pages/publications/85168379092

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ER -

On the regularity and existence of weak solutions for a class of degenerate singular elliptic problem

Abstract

Keywords

ASJC Scopus subject areas

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