In this paper we investigate the existence of positive solutions to the following Schrödinger–Poisson–Slater system where Ω is a bounded domain in , λ is a fixed positive parameter and . We prove that if p is “near” the critical Sobolev exponent , then the number of positive solutions is greater then the Lusternik–Schnirelmann category of Ω.
Multiple positive solutions for a Schr\"odinger-Poisson-Slater system
Siciliano, Gaetano
2009-01-01
Abstract
In this paper we investigate the existence of positive solutions to the following Schrödinger–Poisson–Slater system where Ω is a bounded domain in , λ is a fixed positive parameter and . We prove that if p is “near” the critical Sobolev exponent , then the number of positive solutions is greater then the Lusternik–Schnirelmann category of Ω.File in questo prodotto:
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