Geodesic
Subcritical perturbations of resonant linear problems with sign-changing potential
Electronic Journal of Differential Equations, Tome 2005 (2005).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We establish existence and multiplicity theorems for a Dirichlet boundary-value problem at resonance. This problem is a nonlinear subcritical perturbation of a linear eigenvalue problem studied by Cuesta, and includes a sign-changing potential. We obtain solutions using the Mountain Pass lemma and the Saddle Point theorem. Our paper extends some recent results of Goncalves, Miyagaki, and Ma.
Classification : 35A15, 35J60, 35P30, 58E05
Keywords: eigenvalue problem, semilinear elliptic equation, existence result, critical point 
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     author = {Dinu, Teodora-Liliana},
     title = {Subcritical perturbations of resonant linear problems with sign-changing potential},
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     year = {2005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a209/}
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Dinu, Teodora-Liliana. Subcritical perturbations of resonant linear problems with sign-changing potential. Electronic Journal of Differential Equations, Tome 2005 (2005). http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a209/