On a nonlocal problem involving a nonstandard nonhomogeneous differential operator

Mustafa Avci, Berat Süer

Research output: Contribution to journalJournal Articlepeer-review

4 Citations (Scopus)

Abstract

In this article, we are concerned with some class of nonlocal problems involving a nonstandard nonlocal and nonhomogeneous differential operator settled in Musielak–Orlicz–Sobolev spaces. We apply variational approach and look for nontrivial solutions, that is, local minimizers of the corresponding energy functional.

Original languageEnglish
Pages (from-to)47-67
Number of pages21
JournalJournal of Elliptic and Parabolic Equations
Volume5
Issue number1
DOIs
Publication statusPublished - 1 Jun. 2019

Keywords

  • Ginzburg–Landau energy
  • Mountain-Pass theorem
  • Musielak–Orlicz–Sobolev spaces
  • Nonlocal problems
  • Variable exponent
  • Variational approach

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