Unstable normalized standing waves for the space periodic NLS

DOI10.2140/apde.2019.12.1177zbMath1405.35191arXiv1706.06950OpenAlexW3102381808MaRDI QIDQ1713452

Tobias Weth, Nils Ackermann

Publication date: 25 January 2019

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.06950

zbMATH Keywords

nonlinear Schrödinger equationperiodic potentialstanding wave solutionprescribed normmultibump constructionorbitally unstable solution

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (11)

Normalized solutions to the Chern-Simons-Schrödinger system ⋮ Normalized solutions for Schrödinger equations with critical Sobolev exponent and mixed nonlinearities ⋮ Normalized ground state traveling solitary waves for the half-wave equations with combined nonlinearities ⋮ Normalized multibump solutions to nonlinear Schrödinger equations with steep potential well ⋮ Normalized ground states for the NLS equation with combined nonlinearities: the Sobolev critical case ⋮ Normalized ground states for the NLS equation with combined nonlinearities ⋮ Normalized solutions for a Choquard equation with exponential growth in \(\mathbb{R}^2\) ⋮ Normalized solutions to the fractional Schrödinger equations with combined nonlinearities ⋮ A mass supercritical problem revisited ⋮ Normalized solutions to the mixed dispersion nonlinear Schrödinger equation in the mass critical and supercritical regime ⋮ Normalized multi-bump solutions of nonlinear Schrödinger equations via variational approach

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