A maximum-principle approach to the minimisation of a nonlocal dislocation energy
In this paper we use an approach based on the maximum principle to characterise the minimiser of a family of nonlocal and anisotropic energies <em>I</em><sub><em>α</em></sub> defined on probability measures in $\mathbb{R}^2$. The purely nonlocal term in <em>...
Main Authors: | Joan Mateu, Maria Giovanna Mora, Luca Rondi, Lucia Scardia, Joan Verdera |
---|---|
Format: | Article |
Language: | English |
Published: |
AIMS Press
2020-05-01
|
Series: | Mathematics in Engineering |
Subjects: | |
Online Access: | https://www.aimspress.com/article/10.3934/mine.2020012/fulltext.html |
Similar Items
-
Remarks on the strong maximum principle for nonlocal operators
by: Jerome Coville
Published: (2008-05-01) -
Maximum principles, sliding techniques and applications to nonlocal equations
by: Jerome Coville
Published: (2007-05-01) -
A Strong Maximum Principle for Nonlinear Nonlocal Diffusion Equations
by: Tucker Hartland, et al.
Published: (2023-11-01) -
Strong maximum principles for implicit parabolic functional-differential problems together with nonlocal inequalities with functionals
by: Ludwik Byszewski
Published: (2009-01-01) -
Transmission dynamics of circular–linear edge dislocation solitons in nonlocal nonlinear media
by: Jia-Qi Liu, et al.
Published: (2022-11-01)