Geodesic
Sobolev spaces of integer order on compact homogeneous manifolds and invariant differential operators
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 7 (1996) no. 4, pp. 219-233

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

Let \( M \) be a Riemannian manifold, which possesses a transitive Lie group \( G \) of isometries. We suppose that \( G \), and therefore \( M \), are compact and connected. We characterize the Sobolev spaces \( W_{p}^{1} (M) \)\( ( 1 p + \infty ) \) by means of the action of \( G \) on \( M \). This characterization allows us to prove a regularity result for the solution of a second order differential equation on \( M \) by global techniques. 
@article{RLIN_1996_9_7_4_a2,
     author = {Bondioli, Cristiana},
     title = {Sobolev spaces of integer order on compact homogeneous	manifolds and invariant differential operators},
     journal = {Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni},
     pages = {219--233},
     publisher = {mathdoc},
     volume = {Ser. 9, 7},
     number = {4},
     year = {1996},
     zbl = {0938.46031},
     mrnumber = {MR1454416},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RLIN_1996_9_7_4_a2/}
}
TY  - JOUR
AU  - Bondioli, Cristiana
TI  - Sobolev spaces of integer order on compact homogeneous	manifolds and invariant differential operators
JO  - Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni
PY  - 1996
SP  - 219
EP  - 233
VL  - 7
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/RLIN_1996_9_7_4_a2/
LA  - en
ID  - RLIN_1996_9_7_4_a2
ER  - 
%0 Journal Article
%A Bondioli, Cristiana
%T Sobolev spaces of integer order on compact homogeneous	manifolds and invariant differential operators
%J Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni
%D 1996
%P 219-233
%V 7
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/RLIN_1996_9_7_4_a2/
%G en
%F RLIN_1996_9_7_4_a2
Bondioli, Cristiana. Sobolev spaces of integer order on compact homogeneous	manifolds and invariant differential operators. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 7 (1996) no. 4, pp. 219-233. http://geodesic.mathdoc.fr/item/RLIN_1996_9_7_4_a2/