Article ID Journal Published Year Pages File Type
8054182 Applied Mathematics Letters 2017 9 Pages PDF
Abstract
We consider a semilinear Robin problem driven by the Laplacian plus an indefinite potential and with a Carathéodory reaction f(z,x) with no growth restriction on the x-variable. We only assume that f(z,⋅) is odd and superlinear near zero. Using a variant of the symmetric mountain pass theorem, we show that the problem has a whole sequence of distinct smooth nodal solutions converging to the trivial one.
Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
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