On nonlinear Schrödinger equations with attractive inverse-power potentials

DOI10.12775/TMNA.2020.046zbMath1477.35237arXiv1903.04636MaRDI QIDQ2240529

Van Duong Dinh

Publication date: 4 November 2021

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.04636

zbMATH Keywords

nonlinear Schrödinger equationblow-upglobal well-posednessstanding wavesinverse-power potential

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Variational methods applied to PDEs (35A15) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for higher-order elliptic equations (35J35) Blow-up in context of PDEs (35B44) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (2)

Orbital Stability of Standing Waves for the Sobolev Critical Schrödinger Equation with Inverse-Power Potential ⋮ Existence of stable standing waves for the nonlinear Schrödinger equation with the Hardy potential

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