Publication Date:
2011
Short description:
Regularity in Campanato Spaces for Solutions of Fully nonlinear Elliptic Systems / Fattorusso, Luisa Angela Maria; A., Tarsia. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. - ISSN 1078-0947. - A 31:4( Dic 2011)#17 special issue(2011), pp. 1307-1323. [doi:10.3934/dcds.2011.31.1307]
abstract:
Abstract. Let Omega
be a bounded convex open set of Rn; n greater or equal 2 with @Omega of class
C^2,1: We consider the following Dirichlet problem
8<
:
u 2 H^2 \ H°^1
0(
;RN)
F(x;D2u(x)) = f(x); a.e. in
;
(0.1)
where f 2 L2;(
;RN); n < n+2; F satises Campanato's Condition Ax
and is Holder continuous in
with exponent b:
We show that there exist "; " 2 (0; 1); ("; " depend on
and ), such that
for any 2 (0; " n); and 2 (0; ]; with < (2b + ) ^ [ (n + 2)]; we have
D2u 2 L2;(
;Rn2N); where " and " depend on the constants appearing in
Condition Ax:
be a bounded convex open set of Rn; n greater or equal 2 with @Omega of class
C^2,1: We consider the following Dirichlet problem
8<
:
u 2 H^2 \ H°^1
0(
;RN)
F(x;D2u(x)) = f(x); a.e. in
;
(0.1)
where f 2 L2;(
;RN); n < n+2; F satises Campanato's Condition Ax
and is Holder continuous in
with exponent b:
We show that there exist "; " 2 (0; 1); ("; " depend on
and ), such that
for any 2 (0; " n); and 2 (0; ]; with < (2b + ) ^ [ (n + 2)]; we have
D2u 2 L2;(
;Rn2N); where " and " depend on the constants appearing in
Condition Ax:
Iris type:
1.1 Articolo in rivista
Keywords:
Fully nonlinear elliptic systems, ; Campanato spaces
List of contributors:
Fattorusso, Luisa Angela Maria; A., Tarsia
Published in: