In this paper we study the boundary value problem (equation required) where Ω⊂ ℝ3 is a smooth bounded domain, 1 < p < 5, ε, η = ±1, q > 0, f : ℝ → ℝ is a continuous function and F is the primitive of f such that F(0) = 0. We provide existence and multiplicity results assuming on f a subcritical growth condition. The critical case is also considered and existence and nonexistence results are proved.
Generalized Schrödinger-Poisson type systems / Azzollini, Antonio; D'Avenia, Pietro; Luisi, Valeria. - In: COMMUNICATIONS ON PURE AND APPLIED ANALYSIS. - ISSN 1534-0392. - STAMPA. - 12:2(2013), pp. 867-879. [10.3934/cpaa.2013.12.867]
Generalized Schrödinger-Poisson type systems
d'Avenia, Pietro;
2013-01-01
Abstract
In this paper we study the boundary value problem (equation required) where Ω⊂ ℝ3 is a smooth bounded domain, 1 < p < 5, ε, η = ±1, q > 0, f : ℝ → ℝ is a continuous function and F is the primitive of f such that F(0) = 0. We provide existence and multiplicity results assuming on f a subcritical growth condition. The critical case is also considered and existence and nonexistence results are proved.File in questo prodotto:
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