Shift and stability of ground states of a nonlinear Schrödinger equation outside a small insulated domain

DOI10.1006/JDEQ.1998.3556zbMath0927.35040OpenAlexW2082345112MaRDI QIDQ1288863

Xuefeng Wang, Wei, Juncheng

Publication date: 29 November 1999

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.1998.3556

zbMATH Keywords

energystabilitysolitary wavesexterior domainsNeumann conditionshrinking domain

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) NLS equations (nonlinear Schrödinger equations) (35Q55)

Cites Work

• Unnamed Item
• On the boundary spike layer solutions to a singularly perturbed Neumann problem
• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• Large amplitude stationary solutions to a chemotaxis system
• Locating the peaks of least-energy solutions to a semilinear Neumann problem
• The role of the Green's function in a nonlinear elliptic equation involving the critical Sobolev exponent
• On the construction of single-peaked solutions to a singularly perturbed semilinear Dirichlet problem
• Uniqueness of the positive solution of \(\Delta u+f(u)=0\) in an annulus
• Nonsymmetric ground states of symmetric variational problems
• On the shape of least‐energy solutions to a semilinear Neumann problem
• On The Existence Of Positive SOlutions For Semilinear Neumann Problems In Exterior Domains
• Nonlinear bound states outside an insulated sphere
• Condensation of least-energy solutions: The effect of boundary conditions
• Semilinear Neumann problem in exterior domains
• On the location and profile of spike‐layer solutions to singularly perturbed semilinear dirichlet problems

This page was built for publication: Shift and stability of ground states of a nonlinear Schrödinger equation outside a small insulated domain