Note on semiclassical states for the Schrödinger equation with nonautonomous nonlinearities

DOI10.1016/j.aml.2018.08.021zbMath1411.35093arXiv1808.09148OpenAlexW2889113240MaRDI QIDQ1726537

Jarosław Mederski, Bartosz Bieganowski

Publication date: 20 February 2019

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.09148

zbMATH Keywords

Schrödinger equationpositive solution

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Positive solutions to PDEs (35B09)

Cites Work

• Semi-classical standing waves for nonlinear Schrödinger equations at structurally stable critical points of the potential
• Semiclassical states for the nonlinear Schrödinger equation on saddle points of the potential via variational methods
• Semiclassical limits of ground state solutions to Schrödinger systems
• On a class of nonlinear Schrödinger equations
• Semi-classical states for nonlinear Schrödinger equations
• On concentration of positive bound states of nonlinear Schrödinger equations
• Local mountain passes for semilinear elliptic problems in unbounded domains
• Semiclassical states for nonlinear Schrödinger equations with sign-changing potentials
• Standing waves for nonlinear Schrödinger equations with a general nonlinearity
• Ground states of a system of nonlinear Schrödinger equations with periodic potentials