Geodesic
On a stronger Lazer-McKenna conjecture for Ambrosetti-Prodi type problems
Wei, Juncheng1 ; Yan, Shusen2
1 Department of Mathematics, The Chinese University of Hong Kong, Shatin, Hong Kong
2 Department of Mathematics, The University of New England, Armidale, NSW 2351, Australia
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 9 (2010) no. 2, pp. 423-457

Voir la notice de l'article provenant de la source Numdam

We consider an elliptic problem of Ambrosetti-Prodi type involving critical Sobolev exponent on a bounded smooth domain. We show that if the domain has some symmetry, the problem has infinitely many (distinct) solutions whose energy approach to infinity even for a fixed parameter, thereby obtaining a stronger result than the Lazer-McKenna conjecture.

Classification : 35J65, 35B38, 47H15

Wei, Juncheng 1 ; Yan, Shusen 2

1 Department of Mathematics, The Chinese University of Hong Kong, Shatin, Hong Kong
2 Department of Mathematics, The University of New England, Armidale, NSW 2351, Australia 
@article{ASNSP_2010_5_9_2_423_0,
     author = {Wei, Juncheng and Yan, Shusen},
     title = {On a stronger {Lazer-McKenna} conjecture for {Ambrosetti-Prodi} type problems},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     pages = {423--457},
     publisher = {Scuola Normale Superiore, Pisa},
     volume = {Ser. 5, 9},
     number = {2},
     year = {2010},
     mrnumber = {2731162},
     zbl = {1204.35094},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ASNSP_2010_5_9_2_423_0/}
}
TY  - JOUR
AU  - Wei, Juncheng
AU  - Yan, Shusen
TI  - On a stronger Lazer-McKenna conjecture for Ambrosetti-Prodi type problems
JO  - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY  - 2010
SP  - 423
EP  - 457
VL  - 9
IS  - 2
PB  - Scuola Normale Superiore, Pisa
UR  - http://geodesic.mathdoc.fr/item/ASNSP_2010_5_9_2_423_0/
LA  - en
ID  - ASNSP_2010_5_9_2_423_0
ER  - 
%0 Journal Article
%A Wei, Juncheng
%A Yan, Shusen
%T On a stronger Lazer-McKenna conjecture for Ambrosetti-Prodi type problems
%J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
%D 2010
%P 423-457
%V 9
%N 2
%I Scuola Normale Superiore, Pisa
%U http://geodesic.mathdoc.fr/item/ASNSP_2010_5_9_2_423_0/
%G en
%F ASNSP_2010_5_9_2_423_0
Wei, Juncheng; Yan, Shusen. On a stronger Lazer-McKenna conjecture for Ambrosetti-Prodi type problems. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 9 (2010) no. 2, pp. 423-457. http://geodesic.mathdoc.fr/item/ASNSP_2010_5_9_2_423_0/