This paper is concerned with volume-constrained minimization problems derived from
Gamow's liquid drop model for the atomic nucleus, involving the competition of a perimeter …

We investigate, under a volume constraint and among sets contained in a Euclidean half-
space, the minimization problem of an energy functional given by the sum of a capillarity …

We consider the minimization problem of the functional given by the sum of the fractional
perimeter and a general Riesz potential, which is one generalization of Gamow's liquid drop …

The liquid drop model, originally used to model atomic nuclei, describes the competition
between surface tension and Coulomb force. To help understand how a ball loses stability …

We consider a sharp-interface model of triblock copolymers, for which the surface tension
across the interface separating phase from phase may depend on the components. We …

We consider the minimization of an energy functional given by the sum of a density
perimeter and a nonlocal interaction of Riesz type with exponent α α, under volume …

We study a two-dimensional quaternary inhibitory system. This free energy functional
combines an interface energy favoring micro-domain growth with a Coulomb-type long …

Motivated by Gamow's liquid drop model in the large mass regime, we consider an
isoperimetric problem in which the standard perimeter P (E) is replaced by P (E)-γPε (E) …

We prove the existence of global minimizers to the double minimization problem where P (E)
denotes the perimeter of the set E, W p is the p-Wasserstein distance between Borel …

We consider the volume-constrained minimization of the sum of the perimeter and the Riesz
potential. We add an external potential of the form ‖x‖^β that provides the existence of a …