Geometrically distinct solutions of nonlinear elliptic systems with periodic potentials
2020-10-01 | journal article. A publication with affiliation to the University of Göttingen.
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- Authors
- Yang, Zhipeng; Yu, Yuanyang
- Abstract
- In this paper, we study the following nonlinear elliptic systems: {−Δu1+V1(x)u1=∂u1F(x,u)−Δu2+V2(x)u2=∂u2F(x,u)x∈RN,x∈RN, where u=(u1,u2):RN→R2 , F and Vi are periodic in x1,…,xN and 0∉σ(−Δ+Vi) for i=1,2 , where σ(−Δ+Vi) stands for the spectrum of the Schrödinger operator −Δ+Vi . Under some suitable assumptions on F and Vi , we obtain the existence of infinitely many geometrically distinct solutions. The result presented in this paper generalizes the result in Szulkin and Weth (J Funct Anal 257(12):3802–3822, 2009).
- Issue Date
- 1-October-2020
- Journal
- Archiv der Mathematik
- Organization
- Mathematisches Institut
- ISSN
- 0003-889X
- eISSN
- 1420-8938
- Language
- English
- Sponsor
- Georg-August-Universität Göttingen (1018)
- Notes
- This publication is with permission of the rights owner freely accessible due to an consortial licence with the publisher via the green way respectively.
