On an anisotropic double phase problem with singular and sign changing nonlinearity

Prashanta Garain; Tuhina Mukherjee

doi:10.1016/j.nonrwa.2022.103790

On an anisotropic double phase problem with singular and sign changing nonlinearity

Prashanta Garain, Tuhina Mukherjee

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

Abstract

This article consists of study of anisotropic double phase problems with singular term and sign changing subcritical as well as critical nonlinearity. Seeking the help of well known Nehari manifold technique, we establish existence of at least two opposite sign energy solutions in the subcritical case and one negative energy solution in the critical case. The results in the critical case are new also in the classical p-Laplacian case.

Original language	English
Article number	103790
Journal	Nonlinear Analysis: Real World Applications
Volume	70
DOIs	https://doi.org/10.1016/j.nonrwa.2022.103790
State	Published - 1 Apr 2023
Externally published	Yes

Keywords

Anisotropic (p, q)-Laplace operator
Double phase problem
Existence
Sign changing nonlinearity
Singular problem

ASJC Scopus subject areas

Analysis
Engineering (all)
Economics, Econometrics and Finance (all)
Computational Mathematics
Applied Mathematics

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10.1016/j.nonrwa.2022.103790

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abstract = "This article consists of study of anisotropic double phase problems with singular term and sign changing subcritical as well as critical nonlinearity. Seeking the help of well known Nehari manifold technique, we establish existence of at least two opposite sign energy solutions in the subcritical case and one negative energy solution in the critical case. The results in the critical case are new also in the classical p-Laplacian case.",

keywords = "Anisotropic (p, q)-Laplace operator, Double phase problem, Existence, Sign changing nonlinearity, Singular problem",

author = "Prashanta Garain and Tuhina Mukherjee",

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AU - Mukherjee, Tuhina

N1 - Funding Information: We would like to thank anonymous reviewers for their valuable comments and suggestions which have greatly improved the quality of the manuscript. Publisher Copyright: © 2022 Elsevier Ltd

PY - 2023/4/1

Y1 - 2023/4/1

N2 - This article consists of study of anisotropic double phase problems with singular term and sign changing subcritical as well as critical nonlinearity. Seeking the help of well known Nehari manifold technique, we establish existence of at least two opposite sign energy solutions in the subcritical case and one negative energy solution in the critical case. The results in the critical case are new also in the classical p-Laplacian case.

AB - This article consists of study of anisotropic double phase problems with singular term and sign changing subcritical as well as critical nonlinearity. Seeking the help of well known Nehari manifold technique, we establish existence of at least two opposite sign energy solutions in the subcritical case and one negative energy solution in the critical case. The results in the critical case are new also in the classical p-Laplacian case.

KW - Anisotropic (p, q)-Laplace operator

KW - Double phase problem

KW - Existence

KW - Sign changing nonlinearity

KW - Singular problem

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On an anisotropic double phase problem with singular and sign changing nonlinearity

Abstract

Keywords

ASJC Scopus subject areas

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