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Abstract

In this paper, we study a class of the $(p, q)$ Kirchhoff type problems with convolution term in $R^{N}$ . With the appropriate assumptions on potential function V and convolution term f, together with the penalization techniques, Morse iterative method and variational method, the existence and multiplicity of multi-bump solutions are obtained for this problem. In some sense, our results also generalize some known results.

Keywords

Double phase Kirchhoff problems potential well multi-bump solutions convolution term variational methods

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Existence and multiplicity of multi-bump solutions for the double phase Kirchhoff problems with convolution term in R N

Abstract

Keywords

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