Article ISI SCOPUS
Calculus of Variations and Partial Differential Equations  (2020)

Existence and non-existence of minimizers for Poincaré–Sobolev inequalities

Benguria R.D.; Vallejos C.; Van Den Bosch H.

Abstract

In this paper we study the existence and non-existence of minimizers for a type of (critical) Poincaré–Sobolev inequalities. We show that minimizers do exist for smooth domains in Rd, an also for some polyhedral domains. On the other hand, we prove the non-existence of minimizers in the rectangular isosceles triangle in R2.

Más información

Título según WOS: Existence and non-existence of minimizers for Poincare-Sobolev inequalities
Título según SCOPUS: Existence and non-existence of minimizers for Poincaré–Sobolev inequalities
Título de la Revista: Calculus of Variations and Partial Differential Equations
Volumen: 59
Número: 1
Editorial: Springer Science and Business Media Deutschland GmbH
Fecha de publicación: 2020
Idioma: English
DOI:

10.1007/s00526-019-1640-y
Notas: ISI, SCOPUS