Nodal solutions of 2-D critical nonlinear Schrödinger equations with potentials vanishing at infinity

DOI10.3934/dcds.2015.35.2921zbMath1339.35297OpenAlexW2320789431MaRDI QIDQ255386

Hui Cheng Yin, Ming Wen Fei

Publication date: 9 March 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2015.35.2921

zbMATH Keywords

nonlinear Schrödinger equationcritical exponentconcentration-compactnessnodal solutionmulti-peak

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) NLS equations (nonlinear Schrödinger equations) (35Q55)

Cites Work

• Unnamed Item
• Nonlinear scalar field equations. I: Existence of a ground state
• Partial symmetry of least energy nodal solutions to some variational problems
• Existence and concentration of bound states of nonlinear Schrödinger equations with compactly supported and competing potentials
• Nodal solutions for singularly perturbed equations with critical exponential growth
• Configuration spaces, transfer, and 2-nodal solutions of a semiclassical nonlinear Schrödinger equation
• Sign-changing multi-peak solutions for nonlinear Schrödinger equations with critical frequency
• Sign-changing solutions of nonlinear elliptic equations
• Nonlinear Schrödinger equations with vanishing and decaying potentials.
• Bound states of nonlinear Schrödinger equations with potentials tending to zero at infinity
• Elliptic equations in \(R^ 2\) with nonlinearities in the critical growth range
• On concentration of positive bound states of nonlinear Schrödinger equations
• On the location and profile of spike-layer nodal solutions to nonlinear Schrödinger equations
• Local mountain passes for semilinear elliptic problems in unbounded domains
• Minimax theorems
• Spherical semiclassical states of a critical frequency for Schrödinger equations with decaying potentials
• Nontrivial Solution of Semilinear Elliptic Equations with Critical Exponent in R
• On the location of spikes and profile of nodalsolutions for a singularly perturbed neumann problem
• On the effect of domain geometry on the existence of nodal solutions in singular perturbations problems
• On Concentration of Positive Bound States of Nonlinear Schrödinger Equations with Competing Potential Functions
• On an inequality by N. Trudinger and J. Moser and related elliptic equations
• Ground states of nonlinear Schrödinger equations with potentials vanishing at infinity
• On a class of nonlinear Schrödinger equations in \(\mathbb R^2\) involving critical growth

This page was built for publication: Nodal solutions of 2-D critical nonlinear Schrödinger equations with potentials vanishing at infinity