Positive solutions for singular (p, 2)-equations

Calogero Vetro, Francesca Vetro, Nikolaos S. Papageorgiou

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

We consider a nonlinear nonparametric Dirichlet problem driven by the sum of a p-Laplacian and of a Laplacian (a (p, 2)-equation) and a reaction which involves a singular term and a (p- 1) -superlinear perturbation. Using variational tools and suitable truncation and comparison techniques, we show that the problem has two positive smooth solutions.
Original languageEnglish
Pages (from-to)1-10
Number of pages10
JournalZeitschrift fur Angewandte Mathematik und Physik
Volume70
Publication statusPublished - 2019

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Physics and Astronomy(all)
  • Applied Mathematics

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