Geodesic
Multiple Nontrivial Solutions for Doubly Resonant Periodic Problems
Canadian mathematical bulletin, Tome 53 (2010) no. 2, pp. 347-359

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

DOI

We consider semilinear periodic problems with the right-hand side nonlinearity satisfying a double resonance condition between two successive eigenvalues. Using a combination of variational and degree theoretic methods, we prove the existence of at least two nontrivial solutions.
DOI : 10.4153/CMB-2010-030-4
Mots-clés : 34B15, double resonance, generalized LL-condition, Leray-Schauder degree, Cerami condition 
Papageorgiou, Nikolaos S.; Staicu, Vasile. Multiple Nontrivial Solutions for Doubly Resonant Periodic Problems. Canadian mathematical bulletin, Tome 53 (2010) no. 2, pp. 347-359. doi: 10.4153/CMB-2010-030-4
@article{10_4153_CMB_2010_030_4,
     author = {Papageorgiou, Nikolaos S. and Staicu, Vasile},
     title = {Multiple {Nontrivial} {Solutions} for {Doubly} {Resonant} {Periodic} {Problems}},
     journal = {Canadian mathematical bulletin},
     pages = {347--359},
     year = {2010},
     volume = {53},
     number = {2},
     doi = {10.4153/CMB-2010-030-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-030-4/}
}
TY  - JOUR
AU  - Papageorgiou, Nikolaos S.
AU  - Staicu, Vasile
TI  - Multiple Nontrivial Solutions for Doubly Resonant Periodic Problems
JO  - Canadian mathematical bulletin
PY  - 2010
SP  - 347
EP  - 359
VL  - 53
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-030-4/
DO  - 10.4153/CMB-2010-030-4
ID  - 10_4153_CMB_2010_030_4
ER  - 
%0 Journal Article
%A Papageorgiou, Nikolaos S.
%A Staicu, Vasile
%T Multiple Nontrivial Solutions for Doubly Resonant Periodic Problems
%J Canadian mathematical bulletin
%D 2010
%P 347-359
%V 53
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-030-4/
%R 10.4153/CMB-2010-030-4
%F 10_4153_CMB_2010_030_4

Cité par Sources :