ON A CLASS OF WEIGHTED ANISOTROPIC p-LAPLACE EQUATION WITH SINGULAR NONLINEARITY

Prashanta Garain

doi:10.12775/TMNA.2022.037

ON A CLASS OF WEIGHTED ANISOTROPIC p-LAPLACE EQUATION WITH SINGULAR NONLINEARITY

Prashanta Garain

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

1 Scopus citations

Abstract

We consider a class of singular weighted anisotropic p-Laplace equations. We provide sufficient condition on the weight function that may vanish or blow up near the origin to ensure the existence of at least one weak solution in the purely singular case and at least two different weak solutions in the purturbed singular case.

Original language	English
Pages (from-to)	775-799
Number of pages	25
Journal	Topological Methods in Nonlinear Analysis
Volume	61
Issue number	2
DOIs	https://doi.org/10.12775/TMNA.2022.037
State	Published - 1 Jun 2023
Externally published	Yes

Keywords

Weighted anisotropic problem
approximation technique
existence
p-admissible weights
singular nonlinearity
variational method

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.12775/TMNA.2022.037

Cite this

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title = "ON A CLASS OF WEIGHTED ANISOTROPIC p-LAPLACE EQUATION WITH SINGULAR NONLINEARITY",

abstract = "We consider a class of singular weighted anisotropic p-Laplace equations. We provide sufficient condition on the weight function that may vanish or blow up near the origin to ensure the existence of at least one weak solution in the purely singular case and at least two different weak solutions in the purturbed singular case.",

keywords = "Weighted anisotropic problem, approximation technique, existence, p-admissible weights, singular nonlinearity, variational method",

author = "Prashanta Garain",

note = "Publisher Copyright: {\textcopyright} 2023 Juliusz Schauder Centre for Nonlinear Studies Nicolaus Copernicus University in Toru{\'n}.",

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N2 - We consider a class of singular weighted anisotropic p-Laplace equations. We provide sufficient condition on the weight function that may vanish or blow up near the origin to ensure the existence of at least one weak solution in the purely singular case and at least two different weak solutions in the purturbed singular case.

AB - We consider a class of singular weighted anisotropic p-Laplace equations. We provide sufficient condition on the weight function that may vanish or blow up near the origin to ensure the existence of at least one weak solution in the purely singular case and at least two different weak solutions in the purturbed singular case.

KW - Weighted anisotropic problem

KW - approximation technique

KW - existence

KW - p-admissible weights

KW - singular nonlinearity

KW - variational method

UR - https://www.scopus.com/pages/publications/85171754979

U2 - 10.12775/TMNA.2022.037

DO - 10.12775/TMNA.2022.037

M3 - Article

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JO - Topological Methods in Nonlinear Analysis

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ON A CLASS OF WEIGHTED ANISOTROPIC p-LAPLACE EQUATION WITH SINGULAR NONLINEARITY

Abstract

Keywords

ASJC Scopus subject areas

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