Existence of three solutions for some equation of Kirchhoff type involving variable exponents

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摘要

In this paper we are concerned with some nonlocal equation involving variable exponents. The equation studied could be regarded as an eigenvalue problem. A result of existence of three nonnegative solutions is established using variational technique.

论文关键词：Nonlocal equations,Variable exponent growth conditions,Ricceri’s three-critical-points theorems,Eigenvalue problem

论文评审过程：Available online 26 January 2012.

论文官网地址：https://doi.org/10.1016/j.amc.2011.12.087