We study the convergence of a class of penalty and barrier methods for solving monotone variational inequalities with constraints. This class of methods is an ...

It seems that only the shape of the drop, besides the completeness of the space, guarantees the existence of the minimizer. Thus, concerning the feasible set of ...

We first show the existence of minimizers for any volumes if the kernel of the Riesz potential decays faster than that of the fractional perimeter. We also ...

Existence of minimizers on drops. Authors: Rafaël Correa,; Pedro Gajardo,; Lionel Thibault,; Dariusz Zagrodny. Abstract. For a boundedly generated drop [a ...

In this note, we present the necessary conditions of optimality for time-optimal controls for a class of distributed-boundary control problems in general Banach ...

For a boundedly generated drop [a,E] (a property which holds, for instance, whenever E is bounded), where a belongs to a real Banach space X and E ⊂ X is a ...

Dec 29, 2021 · We first show the existence of minimizers for any volumes if the kernel of the Riesz potential decays faster than that of the fractional ...

Jan 1, 2013 · There exists $\bar x \in [a,E]$ such that $h(a)\ge h(\bar x)$ and $\bar x$ is a strict minimizer of $h$ on the drop $[\bar x

Jan 9, 2024 · A compactness lemma and its application to the existence of minimizers for the liquid drop model. SIAM J. Math. Anal., 47(6):4436–4450, 2015 ...

Abstract. We consider the minimization problem of the functional given by the sum of the fractional perimeter and a general Riesz potential, ...