We consider the existence of solutions, in the space W1,1(Ω), to the problemminimize öΩL(v(x))dxonφ+W01,1(Ω) where L is of slow (linear or at most quadratic) growth. We present a necessary and sufficient condition in order that, for any smooth boundary datum φ and for any bounded Ω with smooth boundary, the minimum problem be solvable.

Staicu, V., Cellina, A. (2016). The existence of solutions to variational problems of slow growth. JOURNAL OF DIFFERENTIAL EQUATIONS, 260(7), 5834-5846 [10.1016/j.jde.2015.12.025].

The existence of solutions to variational problems of slow growth

CELLINA, ARRIGO
2016

Abstract

We consider the existence of solutions, in the space W1,1(Ω), to the problemminimize öΩL(v(x))dxonφ+W01,1(Ω) where L is of slow (linear or at most quadratic) growth. We present a necessary and sufficient condition in order that, for any smooth boundary datum φ and for any bounded Ω with smooth boundary, the minimum problem be solvable.
Articolo in rivista - Articolo scientifico
Calculus of Variations
English
2016
260
7
5834
5846
open
Staicu, V., Cellina, A. (2016). The existence of solutions to variational problems of slow growth. JOURNAL OF DIFFERENTIAL EQUATIONS, 260(7), 5834-5846 [10.1016/j.jde.2015.12.025].
File in questo prodotto:
File Dimensione Formato  
Cellina_Staicu_intermedio_rev.pdf

accesso aperto

Dimensione 303.4 kB
Formato Adobe PDF
303.4 kB Adobe PDF Visualizza/Apri

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/10281/141308
Citazioni
  • Scopus 1
  • ???jsp.display-item.citation.isi??? 1
Social impact