Geodesic
Infinitely many solutions for the \(p\)-Laplace equations with nonsymmetric perturbations
Electronic journal of differential equations, Tome 2008 (2008)
In this article, we study Dirichlet problems involving the p-Laplacian with a nonsymmetric term. By using the large Morse index of the corresponding Laplace equation, we establish an estimate on the growth of the min-max values for a functional associated with the problem. The estimate is better than the given result in some range. We show that the problem possesses infinitely many weak solutions.
Classification : 35J70, 35D50
Keywords: p-Laplacian, large Morse index, nonsymmetric perturbation, infinitely many solutions 
@article{EJDE_2008__2008__a92,
     author = {Liu,  Disheng and Geng,  Di},
     title = {Infinitely many solutions for the {\(p\)-Laplace} equations with nonsymmetric perturbations},
     journal = {Electronic journal of differential equations},
     year = {2008},
     volume = {2008},
     zbl = {1173.35508},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a92/}
}
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%A Geng,  Di
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Liu,  Disheng; Geng,  Di. Infinitely many solutions for the \(p\)-Laplace equations with nonsymmetric perturbations. Electronic journal of differential equations, Tome 2008 (2008). http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a92/