Nodal solutions of an NLS equation concentrating on lower dimensional spheres
From MaRDI portal
Publication:283598
DOI10.1186/S13661-015-0411-8zbMATH Open1339.35288arXiv1503.08657OpenAlexW2116512800WikidataQ59428944 ScholiaQ59428944MaRDI QIDQ283598
Author name not available (Why is that?)
Publication date: 13 May 2016
Published in: (Search for Journal in Brave)
Abstract: In this work we deal with a following nonlinear Schrodinger equation in dimension greater or equal to 3, with a subcritical power-type nonlinearity and a positive potential satisfying a local condition. We prove the existence and concentration of nodal solutions which concentrate around a k - dimensional sphere of RN, where k is between 1 and N-1, as a parameter goes to 0. The radius of such sphere is related with the local minimum of a function which takes into account the potential. Variational methods are used together with the penalization technique in order to overcome the lack of compactness.
Full work available at URL: https://arxiv.org/abs/1503.08657
No records found.
No records found.
This page was built for publication: Nodal solutions of an NLS equation concentrating on lower dimensional spheres
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q283598)
