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.
|Titolo:||A global differentiability results for solutions of non linear elliptic problems with controlled growths|
|Data di pubblicazione:||2008|
|Appare nelle tipologie:||1.1 Articolo in rivista|