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 give a new method to prove the existence, non-existence, multiplicity,orbital stability/instability of standing waves for NLS with partialconfinement without the subcritical hypothesis, even in the reduction equation.Using this method, we give an affirmative answer for an open problem proposedby [7, Remark 1.10] where the authors conjectured the existence of more than anormalized solution. We also establish uniqueness results of the ground statesolutions depending on the bifurcation parameters. We explain that when theeffect of partial confinement is strong, a dimension reduction appears for someparameters. We also find different bifurcation phenomena from the cases withfull confinement.

A New Method to prove the Existence, Non-existence, Multiplicity,  Uniqueness, and Orbital Stability/Instability of standing waves for NLS with  partial confinement