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

Prashanta Garain, Tuhina Mukherjee

Research output: Contribution to journalArticlepeer-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 languageEnglish
Article number103790
JournalNonlinear Analysis: Real World Applications
Volume70
DOIs
StatePublished - 1 Apr 2023
Externally publishedYes

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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