English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

In this paper we will continue the analysis of two dimensional Schr\"odingerequation with a fixed, pointwise, nonlinearity started in [2, 13]. In thismodel, the occurrence of a blow-up phenomenon has two peculiar features: theenergy threshold under which all solutions blow up is strictly negative andcoincides with the infimum of the energy of the standing waves; there is nocritical power nonlinearity, i.e., for every power there exist blow-upsolutions. Here we study the stability properties of stationary states toverify whether the anomalies mentioned before have any counterpart on thestability features.

Stability of the standing waves of the concentrated NLSE in dimension two