Multiplicity result to a singular quasilinear Schrödinger equation

Kaushik Bal, Prashanta Garain, Indubaran Mandal, Konijeti Sreenadh

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

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
JournalJournal of Mathematical Analysis and Applications
Volume497
Issue number2
DOIs
StatePublished - 15 May 2021
Externally publishedYes

Keywords

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

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Fingerprint

Dive into the research topics of 'Multiplicity result to a singular quasilinear Schrödinger equation'. Together they form a unique fingerprint.

Cite this