A global differentiability results for solutions of non linear elliptic problems with controlled growths
Articolo
Data di Pubblicazione:
2008
Citazione:
A global differentiability results for solutions of non linear elliptic problems with controlled growths / Fattorusso, L.A.M.. - In: CZECHOSLOVAK MATHEMATICAL JOURNAL. - ISSN 0011-4642. - 58,:1(2008), pp. 113-129. [10.1007/s10587-008-0008-9]
Abstract:
Abstract. Let
be a bounded open subset of Rn, n > 2. In
we deduce the global
differentiability result
u ∈ H
2(
, RN )
for the solutions u ∈ H1(
, Rn) of the Dirichlet problem
u − g ∈ H
1
0 (
, RN ),
−X
i
Diai(x, u,Du) = B0(x, u,Du)
with controlled growth and nonlinearity q = 2.
The result was obtained by first extending the interior differentiability result near the
boundary and then proving the global differentiability result making use of a covering
procedure.
be a bounded open subset of Rn, n > 2. In
we deduce the global
differentiability result
u ∈ H
2(
, RN )
for the solutions u ∈ H1(
, Rn) of the Dirichlet problem
u − g ∈ H
1
0 (
, RN ),
−X
i
Diai(x, u,Du) = B0(x, u,Du)
with controlled growth and nonlinearity q = 2.
The result was obtained by first extending the interior differentiability result near the
boundary and then proving the global differentiability result making use of a covering
procedure.
Tipologia CRIS:
1.1 Articolo in rivista
Keywords:
global differentiability of weak solutions, elliptic problems; elliptic problems; controlled growth
Elenco autori:
Fattorusso, Luisa Angela Maria
Link alla scheda completa:
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