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.
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.
