We consider nonlinear elliptic Dirichlet problems driven by the sum of a p-Laplacian and a Laplacian (a (p,2) -equation). The reaction term at ±∞ is resonant with respect to any variational eigenvalue of the p-Laplacian. We prove two multiplicity theorems for such equations.
Papageorgiou N.S., Vetro C., Vetro F. (2020). (p,2)-equations resonant at any variational eigenvalue. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 65(7), 1077-1103 [10.1080/17476933.2018.1508287].
(p,2)-equations resonant at any variational eigenvalue
Vetro C.
;
2020-01-01
Abstract
We consider nonlinear elliptic Dirichlet problems driven by the sum of a p-Laplacian and a Laplacian (a (p,2) -equation). The reaction term at ±∞ is resonant with respect to any variational eigenvalue of the p-Laplacian. We prove two multiplicity theorems for such equations.
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