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

4 Scopus citations

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
General Engineering
General Economics, Econometrics and Finance
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.",

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KW - Anisotropic (p, q)-Laplace operator

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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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