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

Year: 2026

Type: article

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 N ( N ⩾ 1 ) is a smooth bounded domain, μ > 0 is prescribed, λ ∈ R is a part of the unknown which appears as a Lagrange multiplier, the boundary operator B α , ζ , γ is defined by

Source: Nonlinearity

DOI: 10.1088/1361-6544/aeaabc

Authors: Claudianor O Alves, Zhentao He, Chao Ji

Institutions: Universidade Federal de Campina Grande, East China University of Science and Technology

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4415347979

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