On a “Zero Mass” Nonlinear Schrödinger Equation
نویسندگان
چکیده
منابع مشابه
On a “zero mass” nonlinear Schrödinger equation
We look for positive solutions to the nonlinear Schrödinger equation −ε2∆u − V (x)f ′(u) = 0, in RN , under the hypothesis of zero mass on the nonlinearity. We prove an existence result for any ε > 0, and a multiplicity result for ε sufficiently small.
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We look for positive solutions to the nonlinear Schrödinger equation −ε2∆u−V (x)f ′(u) = 0, in RN , where V is a continuous bounded positive potential and f satisfies particular growth conditions which make our problem fall in the so called “zero mass case”. We prove an existence result for any ε > 0, and a multiplicity result for ε sufficiently small.
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ژورنال
عنوان ژورنال: Advanced Nonlinear Studies
سال: 2007
ISSN: 2169-0375,1536-1365
DOI: 10.1515/ans-2007-0406