Action versus energy ground states in nonlinear Schrödinger equations

DOI10.1007/s00208-022-02382-zOpenAlexW4220938840MaRDI QIDQ2696238

Enrico Serra, Simone Dovetta, Paolo Tilli

Publication date: 11 April 2023

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.08655

zbMATH Keywords

critical pointsnonlinear Schrödinger equations

Mathematics Subject Classification ID

Variational inequalities (49J40) Variational methods applied to PDEs (35A15) Variational principles in infinite-dimensional spaces (58E30) NLS equations (nonlinear Schrödinger equations) (35Q55) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) PDEs on manifolds (35R01)

Related Items

Existence, structure, and robustness of ground states of a NLSE in 3D with a point defect, Standing waves on quantum graphs, Ground states for the planar NLSE with a point defect as minimizers of the constrained energy, Computing the Action Ground State for the Rotating Nonlinear Schrödinger Equation, On some nonlinear Schrödinger equations in ℝ^N, Stable standing waves for a Schrödinger system with nonlinearχ3 response, Existence and orbital stability/instability of standing waves with prescribed mass for the \(L^2\)-supercritical NLS in bounded domains and exterior domains, Classification and stability of positive solutions to the NLS equation on the T -metric graph, On the notion of ground state for nonlinear Schrödinger equations on metric graphs, 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, On global minimizers for a mass constrained problem

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