Properties of the least action level, bifurcation phenomena and the existence of normalized solutions for a family of semi-linear elliptic equations without the hypothesis of autonomy

DOI10.1016/j.jde.2022.01.035zbMath1484.35216OpenAlexW4210271274MaRDI QIDQ2074480

Linjie Song

Publication date: 10 February 2022

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2022.01.035

zbMATH Keywords

bifurcationNehari manifoldsemi-linear elliptic equationsPohozaev identitynormalized solutions

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Variational methods applied to PDEs (35A15) Semilinear elliptic equations (35J61)

Related Items (2)

Existence and orbital stability/instability of standing waves with prescribed mass for the \(L^2\)-supercritical NLS in bounded domains and exterior domains ⋮ On radial positive normalized solutions of the nonlinear Schrödinger equation in an annulus

Cites Work

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