National Changhua University of Education Institutional Repository : Item 987654321/17736
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题名: Multiple Solutions of Schr�dinger Equations with Indefinite Linear Part and Super or Asymptotically Linear Terms
作者: Ding, Yan-Heng;Lee, Cheng
贡献者: 數學系
关键词: Schr�dinger equation;Indefinite;Asymptotically linear;Infinitely many solutions
日期: 2006-03
上传时间: 2013-12-30T06:51:50Z
出版者: Elsevier
摘要: Based on new information concerning strongly indefinite functionals without Palais–Smale conditions, we study existence and multiplicity of solutions of the Schrödinger equationwhere V and g are periodic with respect 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.
關聯: Journal of Differential Equations, 222(1): 137-163
显示于类别:[數學系] 期刊論文

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