Geodesic
Resonance with respect to the Fučík spectrum
Electronic Journal of Differential Equations, Tome 2000 (2000).

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

Summary: Let $$ Lu = \alpha u^+ - \beta u^- + f(\cdot,u), $$ when the homogeneous equation $Lu = \alpha u^+ - \beta u^-$ has non-trivial solutions. Using the computation of degrees that are not necessarily +1 or -1, we present results about the existence of solutions. Our results are illustrated with examples and can be seen as generalizations of Landesman-Lazer conditions. Non-existence results are also given.
Classification : 70K30, 35P30, 35G30
Keywords: resonance, jumping nonlinearity, landesman-lazer conditions 
@article{EJDE_2000__2000__a204,
     author = {Ben-Naoum, A.K. and Fabry, C. and Smets, D.},
     title = {Resonance with respect to the {Fu\v{c}{\'\i}k} spectrum},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2000},
     year = {2000},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2000__2000__a204/}
}
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Ben-Naoum, A.K.; Fabry, C.; Smets, D. Resonance with respect to the Fučík spectrum. Electronic Journal of Differential Equations, Tome 2000 (2000). http://geodesic.mathdoc.fr/item/EJDE_2000__2000__a204/