On some nonlocal problems in the calculus of variations

Michel Chipot; Hayk Mikayelyan

doi:10.1016/j.na.2021.112754

On some nonlocal problems in the calculus of variations

Michel Chipot
, Hayk Mikayelyan^*

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Journal Publication › Article › peer-review

3 Citations (Scopus)

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 language	English
Article number	112754
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	217
DOIs	https://doi.org/10.1016/j.na.2021.112754
Publication status	Published - Apr 2022

Free Keywords

Nonlocal calculus of variations
Obstacle problem
Optimization problems
Penalization
Variational inequalities

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.na.2021.112754

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title = "On some nonlocal problems in the calculus of variations",

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).",

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author = "Michel Chipot and Hayk Mikayelyan",

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AB - 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).

KW - Nonlocal calculus of variations

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KW - Optimization problems

KW - Penalization

KW - Variational inequalities

UR - https://www.scopus.com/pages/publications/85122199991

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DO - 10.1016/j.na.2021.112754

M3 - Article

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ER -

On some nonlocal problems in the calculus of variations

Abstract

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ASJC Scopus subject areas

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