Existence and nonexistence results for anisotropic p-Laplace equation with singular nonlinearities

Prashanta Garain

doi:10.1080/17476933.2020.1801655

Existence and nonexistence results for anisotropic p-Laplace equation with singular nonlinearities

Prashanta Garain

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

2 Scopus citations

Abstract

Let (Formula presented.) and consider the following anisotropic p-Laplace equation (Formula presented.) Under suitable hypothesis on the weight function g we present an existence result for (Formula presented.) in a bounded smooth domain Ω and nonexistence results for (Formula presented.) or (Formula presented.) (Formula presented.) with (Formula presented.) respectively.

Original language	English
Pages (from-to)	2055-2075
Number of pages	21
Journal	Complex Variables and Elliptic Equations
Volume	66
Issue number	12
DOIs	https://doi.org/10.1080/17476933.2020.1801655
State	Published - 1 Jan 2021
Externally published	Yes

Keywords

35A01
35B53
35J75
Anisotropic p-Laplacian
T. Bartsch
existence
nonexistence
stable solution

ASJC Scopus subject areas

Analysis
Numerical Analysis
Computational Mathematics
Applied Mathematics

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10.1080/17476933.2020.1801655

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title = "Existence and nonexistence results for anisotropic p-Laplace equation with singular nonlinearities",

abstract = "Let (Formula presented.) and consider the following anisotropic p-Laplace equation (Formula presented.) Under suitable hypothesis on the weight function g we present an existence result for (Formula presented.) in a bounded smooth domain Ω and nonexistence results for (Formula presented.) or (Formula presented.) (Formula presented.) with (Formula presented.) respectively.",

keywords = "35A01, 35B53, 35J75, Anisotropic p-Laplacian, T. Bartsch, existence, nonexistence, stable solution",

author = "Prashanta Garain",

note = "Publisher Copyright: {\textcopyright} 2020 The Author(s). Published by Informa UK Limited, trading as Taylor & Francis Group.",

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doi = "10.1080/17476933.2020.1801655",

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AU - Garain, Prashanta

PY - 2021/1/1

Y1 - 2021/1/1

N2 - Let (Formula presented.) and consider the following anisotropic p-Laplace equation (Formula presented.) Under suitable hypothesis on the weight function g we present an existence result for (Formula presented.) in a bounded smooth domain Ω and nonexistence results for (Formula presented.) or (Formula presented.) (Formula presented.) with (Formula presented.) respectively.

AB - Let (Formula presented.) and consider the following anisotropic p-Laplace equation (Formula presented.) Under suitable hypothesis on the weight function g we present an existence result for (Formula presented.) in a bounded smooth domain Ω and nonexistence results for (Formula presented.) or (Formula presented.) (Formula presented.) with (Formula presented.) respectively.

KW - 35A01

KW - 35B53

KW - 35J75

KW - Anisotropic p-Laplacian

KW - T. Bartsch

KW - existence

KW - nonexistence

KW - stable solution

UR - http://www.scopus.com/inward/record.url?scp=85089186480&partnerID=8YFLogxK

U2 - 10.1080/17476933.2020.1801655

DO - 10.1080/17476933.2020.1801655

M3 - Article

AN - SCOPUS:85089186480

SN - 1747-6933

VL - 66

SP - 2055

EP - 2075

JO - Complex Variables and Elliptic Equations

JF - Complex Variables and Elliptic Equations

IS - 12

ER -

Existence and nonexistence results for anisotropic p-Laplace equation with singular nonlinearities

Abstract

Keywords

ASJC Scopus subject areas

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