Zhentao He

Existence and multiplicity of normalized solutions to a large class of elliptic equations on bounded domains with general boundary conditions

Abstract In this paper, by adapting the perturbation method, we study the existence and multiplicity of normalized solutions for the following nonlinear Schrödinger equation { − Δ u = λ u + f ( u ) in Ω , B α , ζ , γ u = 0 on ∂ Ω , ∫ Ω u 2 d x = μ , ( P ) α , ζ , γ μ where Ω ⊂ R...