National Changhua University of Education Institutional Repository : Item 987654321/17736

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NCUEIR > College of Science > math > Periodical Articles > Item 987654321/17736

Please use this identifier to cite or link to this item: http://ir.ncue.edu.tw/ir/handle/987654321/17736

Title:	Multiple Solutions of Schr�dinger Equations with Indefinite Linear Part and Super or Asymptotically Linear Terms
Authors:	Ding, Yan-Heng;Lee, Cheng
Contributors:	數學系
Keywords:	Schr�dinger equation;Indefinite;Asymptotically linear;Infinitely many solutions
Date:	2006-03
Issue Date:	2013-12-30T06:51:50Z
Publisher:	Elsevier
Abstract:	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.
Relation:	Journal of Differential Equations, 222(1): 137-163
Appears in Collections:	[math] Periodical Articles

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