Asymmetric Poincaré inequalities and solvability of capillarity problems

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.



Titolo: Asymmetric Poincaré inequalities and solvability of capillarity problems
Autori: 
OBERSNEL, Franco
OMARI, PIERPAOLO
RIVETTI, SABRINA
Data di pubblicazione: 2014
Rivista: 
JOURNAL OF FUNCTIONAL ANALYSIS  
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.
Handle: http://hdl.handle.net/11368/2767321
Digital Object Identifier (DOI): http://dx.doi.org/10.1016/j.jfa.2014.03.011
Appare nelle tipologie:1.1 Articolo in Rivista

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