Multiple solutions of Schrödinger equations with indefinite linear part and super or asymptotically linear terms

Yanheng Ding, Cheng Lee

研究成果: Article同行評審

78 引文 斯高帕斯(Scopus)

摘要

Based on new information concerning strongly indefinite functionals without Palais-Smale conditions, we study existence and multiplicity of solutions of the Schrödinger equation { -Δu + V(x)u = g(x,u) for x ε ℝN, u(x) → 0 as x → ∞, where V and g are periodic with r espect to x and 0 lies in a gap of σ(-Δ+V). Supposing g is asymptotically linear as u → ∞ and symmetric in u, we obtain infinitely many geometrically distinct solutions. We also consider the situation where g is super linear with mild assumptions different from those studied previously, and establish the existence and multiplicity.

原文English
頁(從 - 到)137-163
頁數27
期刊Journal of Differential Equations
222
發行號1
DOIs
出版狀態Published - 2006 三月 1

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

指紋 深入研究「Multiple solutions of Schrödinger equations with indefinite linear part and super or asymptotically linear terms」主題。共同形成了獨特的指紋。

引用此