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Sharp constant in nonlocal inequality and its applications to nonlocal Schrödinger equation with harmonic potential

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Publication:1049715
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DOI10.4310/CMS.2009.v7.n3.a2zbMath1183.35248MaRDI QIDQ1049715

Jianqing Chen, Yong Qian Han, Bo-ling Guo

Publication date: 13 January 2010

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)


zbMATH Keywords

blow-upglobal solutionssharp constantnonlocal Schrödinger equationnonlocal interpolation inequality


Mathematics Subject Classification ID

Attractors (35B41) A priori estimates in context of PDEs (35B45) NLS equations (nonlinear Schrödinger equations) (35Q55) Variational methods for second-order elliptic equations (35J20)


Related Items (4)

Instability of standing waves for a generalized Choquard equation with potential ⋮ A nonrelativistic limit for AdS perturbations ⋮ Stability of standing waves for a generalized Choquard equation with potential ⋮ Sharp variational characterization and a Schrödinger equation with Hartree type nonlinearity




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