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Critical case of nonlinear Schrödinger equations with inverse-square potentials on bounded domains

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Publication:2925954
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DOI10.21136/mb.2014.143851zbMath1340.35330OpenAlexW2758968720MaRDI QIDQ2925954

Toshiyuki Suzuki

Publication date: 29 October 2014

Full work available at URL: http://hdl.handle.net/10338.dmlcz/143851


zbMATH Keywords

energy methodnonlinear Schrödinger equationinverse-square potentialHardy-Poincaré inequality


Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Perturbation theories for operators and differential equations in quantum theory (81Q15)


Related Items (4)

Novel spectral methods for Schrödinger equations with an inverse square potential on the whole space ⋮ Global existence and blowup for a class of the focusing nonlinear Schrödinger equation with inverse-square potential ⋮ The Cauchy problem for Choquard equation with an inverse‐square potential ⋮ Nonlinear Schrödinger equations with inverse-square potentials in two dimensional space




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