Multiplicity result to a singular quasilinear Schrödinger equation

Kaushik Bal*, Prashanta Garain, Indubaran Mandal, Konijeti Sreenadh

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

Abstract

By analysing the structure of the fibering map associated with the Euler functional and the Nehari manifold technique, we prove that the following quasilinear singular Schrödinger equation, [Formula presented] admits at least two weak solutions in X:={u∈H01(Ω):u2∈H01(Ω)} for λ>0 small, provided Ω is a bounded smooth domain in RN(≥3), 0<q<1 and [Formula presented].

Original languageEnglish
Article number124904
Number of pages20
JournalJournal of Mathematical Analysis and Applications
Volume497
Issue number2
DOIs
Publication statusPublished - 15 May 2021
MoE publication typeA1 Journal article-refereed

Keywords

  • Fibering method
  • Nehari manifold
  • Schrödinger equation
  • Singular nonlinearity

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