A Note on The Schrödinger-Poisson-Slater Equation on Bounded Domains
David Ruiz, Gaetano Siciliano · Advanced Nonlinear Studies · 2008
Abstract In this note we consider the problem where u, ϕ ∈ H 0 1 (Ω) and Ω ⊂ ℝ 3 is a smooth bounded domain. We are interested in existence and multiplicity of solutions depending on the parameters p and λ. Our results extend previous work made in ℝ 3 .