In this paper we first establish an asymmetric version of the Poincaré inequality in the space of bounded variation functions, then, basically relying on this result, we discuss the existence, the non- existence and the multiplicity of bounded variation solutions of a class of capillarity problems with asymmetric perturbations.

Asymmetric Poincaré inequalities and solvability of capillarity problems

OBERSNEL, Franco;OMARI, PIERPAOLO;RIVETTI, SABRINA
2014-01-01

Abstract

In this paper we first establish an asymmetric version of the Poincaré inequality in the space of bounded variation functions, then, basically relying on this result, we discuss the existence, the non- existence and the multiplicity of bounded variation solutions of a class of capillarity problems with asymmetric perturbations.
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11368/2767321
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 10
  • ???jsp.display-item.citation.isi??? 9
social impact