Article ISI SCOPUS
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS  (2019)

Existence and non-existence of minimizers for Poincare-Sobolev inequalities

Abstract

In this paper we study the existence and non-existence of minimizers for a type of (critical) Poincare-Sobolev inequalities. We show that minimizers do exist for smooth domains in R-d, an also for some polyhedral domains. On the other hand, we prove the non-existence of minimizers in the rectangular isosceles triangle in R-2.

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 HEIDELBERG
Fecha de publicación: 2019
Idioma: English
DOI:

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