On some nonlocal problems in the calculus of variations

Michel Chipot, Hayk Mikayelyan

Research output: Journal PublicationArticlepeer-review

Abstract

The goal of this paper is to investigate some nonlocal problems of the calculus of variations where pointwise comparisons principles fail but where some kind of nonlocal maximum principle or monotonicity property remains true for some quantities attached to the problem. A special attention will be given to a nonlocal energy recently introduced in Mikayelyan (2018).

Original languageEnglish
Article number112754
JournalNonlinear Analysis, Theory, Methods and Applications
Volume217
DOIs
Publication statusPublished - Apr 2022

Keywords

  • Nonlocal calculus of variations
  • Obstacle problem
  • Optimization problems
  • Penalization
  • Variational inequalities

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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