Abstract
ABSTRACT In this paper, we consider a class of Kirchhoff problems as follows (1) where a, b>0 are given constants, ϵ is a small parameter and . We first prove the nondegeneracy of positive solutions to Equation (1) when . Then, as an application, using a perturbed argument and finite-dimensional reduction method, we prove the existence of positive solutions of Equation (1) for ϵ small.
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