We consider a nonlocal isoperimetric problem defined in the whole space R^N, whose
nonlocal part is given by a Riesz potential with exponent α∈(0,N-1). We show that critical …

We extend the results about the existence of minimizers, relaxation, and approximation
proven by Bonnetier and Chambolle (SIAM J Appl Math 62: 1093–1121, 2002), Chambolle …

We consider a non-local isoperimetric problem arising as the sharp interface limit of the Ohta–
Kawasaki free energy introduced to model microphase separation of diblock copolymers …

The Surface Diffusion Flow with Elasticity in Three Dimensions | Archive for Rational Mechanics
and Analysis Skip to main content SpringerLink Account Menu Find a journal Publish with us …

Short time existence for a surface diffusion evolution equation with curvature regularization
is proved in the context of epitaxially strained three-dimensional films. This is achieved by …

The Surface Diffusion Flow with Elasticity in the Plane Page 1 Digital Object Identifier (DOI)
https://doi.org/10.1007/s00220-018-3200-2 Commun. Math. Phys. 362, 571–607 (2018) …

We establish a local minimality sufficiency criterion, based on the strict positivity of the
second variation, in the context of a variational model for the epitaxial growth of elastic films …

This paper addresses a two-dimensional sharp interface variational model for solid-state
dewetting of thin films with surface energies, introduced by Wang, Jiang, Bao, and Srolovitz …

The behavior of a surface energy F (E, u) F (E, u), where E is a set of finite perimeter and u
∈ L^ 1 (∂^* E, R _+) u∈ L 1 (∂∗ E, R+), is studied. These energies have been recently …

This paper addresses a two-dimensional sharp interface variational model for solid-state
dewetting of thin films with surface energies, introduced by Wang, Jiang, Bao, and Srolovitz …