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.
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]
A global differentiability results for solutions of non linear elliptic problems with controlled growths
FATTORUSSO, Luisa Angela Maria
2008-01-01
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
