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- Title
Infinite Sharp Conditions by Nehari Manifolds for Nonlinear Schrödinger Equations.
- Authors
Lian, Wei; Shen, Jihong; Xu, Runzhang; Yang, Yanbing
- Abstract
We study the Cauchy problem of nonlinear Schrödinger equation i φ t + Δ φ + | φ | p - 1 φ = 0 . By constructing infinite Nehari manifolds with geometric features, we not only obtain infinite invariant sets of solutions, but also give infinite sharp conditions for global existence and finite time blow up of solutions.
- Publication
Journal of Geometric Analysis, 2020, Vol 30, Issue 2, p1865
- ISSN
1050-6926
- Publication type
Article
- DOI
10.1007/s12220-019-00281-5