Multiple solutions to nonlinear Schrödinger equations with critical growth

DOI10.1186/1687-2770-2013-199zbMath1294.35142OpenAlexW2110392995WikidataQ59300827 ScholiaQ59300827MaRDI QIDQ2251650

Wulong Liu, Pei-Hao Zhao

Publication date: 15 July 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2013-199

zbMATH Keywords

variational methodscritical growthnonlinear Schrödinger equations

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Variational methods applied to PDEs (35A15) NLS equations (nonlinear Schrödinger equations) (35Q55)

Cites Work

• Large amplitude stationary solutions to a chemotaxis system
• On a class of nonlinear Schrödinger equations
• On the existence of multiple, single-peaked solutions for a semilinear Neumann problem
• Locating the peaks of least-energy solutions to a semilinear Neumann problem
• Semiclassical states of nonlinear Schrödinger equations
• Multi-peak bound states for nonlinear Schrödinger equations
• On concentration of positive bound states of nonlinear Schrödinger equations
• Multipeak solutions for a semilinear Neumann problem
• Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential
• Multiple positive solutions to nonlinear Schrödinger equations with competing potential functions
• Multiple Solutions for a Nonlinear Schrödinger Equation with Magnetic Fields
• Existence of Semiclassical Bound States of Nonlinear Schrödinger Equations with Potentials of the Class (V)_a
• On Concentration of Positive Bound States of Nonlinear Schrödinger Equations with Competing Potential Functions
• Existence of multi-bumb solutions for nonlinear schrödinger equations via variational method

This page was built for publication: Multiple solutions to nonlinear Schrödinger equations with critical growth