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 Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We analyse the existence and the stability of the ground states of theone-dimensional nonlinear Schr\"{o}dinger equation with a focusing powernonlinearity and a defect located at the origin. In this paper a ground stateis defined as a global minimizer of the action functional on the Neharimanifold and the defect considered is a F\"{u}l\"{o}p-Tsutsui $\delta$ type,namely a $\delta$ condition that allows discontinuities. The existence ofground states is proved by variational techniques, while the stability resultsfrom the Grillakis-Shatah-Strauss theory.

Discontinuous Ground States for NLSE on $\mathbb{R}$ with a F\"{u}l\"{o}p-Tsutsui $\delta$ interaction