On a Class of Mixed Local and Nonlocal Semilinear Elliptic Equation with Singular Nonlinearity

Prashanta Garain

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

In this article, we consider a combination of local and nonlocal Laplace equation with singular nonlinearities. For such mixed problems, we establish the existence of at least one weak solution for a parameter-dependent singular nonlinearity and existence of multiple solutions for perturbed singular nonlinearity. Our argument is based on the variational and approximation approach.

Original languageEnglish
Article number212
JournalJournal of Geometric Analysis
Volume33
Issue number7
DOIs
StatePublished - 1 Jul 2023
Externally publishedYes

Keywords

  • Existence
  • Mixed local and nonlocal equation
  • Regularity
  • Singular nonlinearity

ASJC Scopus subject areas

  • Geometry and Topology

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