Scattering and blowup problems for a class of nonlinear Schrödinger equations.

zbMath1274.35353MaRDI QIDQ1941793

Takafumi Akahori, Hiroaki Kikuchi, Hayato Nawa

Publication date: 21 March 2013

Published in: Differential and Integral Equations (Search for Journal in Brave)

zbMATH Keywords

invariant setnonlinear Schrödinger equationblow-upground stateminimizervariational estimate

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61) Blow-up in context of PDEs (35B44)

Related Items (3)

Non-existence of ground states and gap of variational values for \(3D\) Sobolev critical nonlinear scalar field equations ⋮ Virial functional and dynamics for nonlinear Schrödinger equations of local interactions ⋮ Existence of a ground state and blowup problem for a class of nonlinear Schrödinger equations involving mass and energy critical exponents

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