Standing waves for 4‐superlinear Schrödinger–Poisson systems with indefinite potentials | Zendy

Liu Shibo | Zendy; Wu Yue | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

Standing waves for 4‐superlinear Schrödinger–Poisson systems with indefinite potentials

Author(s) -

Liu Shibo,

Wu Yue

Publication year - 2017

Publication title -

bulletin of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.396

H-Index - 48

eISSN - 1469-2120

pISSN - 0024-6093

DOI - 10.1112/blms.12019

Subject(s) - mathematics , schrödinger's cat , operator (biology) , poisson distribution , space (punctuation) , contrast (vision) , morse theory , morse code , mathematical physics , mathematical analysis , pure mathematics , physics , telecommunications , linguistics , philosophy , repressor , transcription factor , optics , gene , computer science , statistics , biochemistry , chemistry

In this paper we consider 4‐superlinear Schrödinger–Poisson systems. In contrast to most studies, we consider the case where the potential V is indefinite so that the Schrödinger operator − Δ + V possesses a finite‐dimensional negative space. We obtain nontrivial solutions for the problem via Morse theory.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research