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Nodal Solutions for Nonlinear Non-Homogeneous Robin Problems with an Indefinite Potential
Published online by Cambridge University Press: 13 June 2018
Abstract
We consider a nonlinear Robin problem driven by a non-homogeneous differential operator plus an indefinite potential term. The reaction function is Carathéodory with arbitrary growth near±∞. We assume that it is odd and exhibits a concave term near zero. Using a variant of the symmetric mountain pass theorem, we establish the existence of a sequence of distinct nodal solutions which converge to zero.
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- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 61 , Issue 4 , November 2018 , pp. 943 - 959
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- Copyright © Edinburgh Mathematical Society 2018
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