Under some hypotheses on weighted functions, using the interior regularity results established in [S. Bonafede, F. Nicolosi, The regularity of generalized solutions of degenerate nonlinear higher-order elliptic systems (in press)] and estimating the oscillation of solutions near the boundary of Ω, we establish results on regularity up to the boundary of a solutions of a system considered here.
Sotto alcune ipotesi sulle funzioni peso, facendo uso di un risultato di regolarità all'interno stabilito in [S. Bonafede, F. Nicolosi, The regularity of generalized solutions of degenerate nonlinear higher-order elliptic systems (in press)] e di una stima dell'oscillazione delle soluzioni vicino alla frontiera di \Omega, si stabilisce la regolarità fino alla frontiera delle soluzioni del sistema considerato.
On a new class of systems of degenerate nonlinear elliptic higher-order equations / Bonafede, Salvatore. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - (2009). [10.1016/j.na.2009.05.024]
On a new class of systems of degenerate nonlinear elliptic higher-order equations
BONAFEDE, Salvatore
2009-01-01
Abstract
Under some hypotheses on weighted functions, using the interior regularity results established in [S. Bonafede, F. Nicolosi, The regularity of generalized solutions of degenerate nonlinear higher-order elliptic systems (in press)] and estimating the oscillation of solutions near the boundary of Ω, we establish results on regularity up to the boundary of a solutions of a system considered here.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.