Existence and multiplicity results for Kirchhoff type problems on a double phase setting

preprint2020arXivOpen access

Abstract

In this paper, we study two classes of Kirchhoff type problems set on a double phase framework. That is, the functional space where finding solutions coincides with the Musielak-Orlicz-Sobolev space W01,H(Ω)W^{1,\mathcal H}_0(Ω), with modular function H\mathcal H related to the so called double phase operator. Via a variational approach, we provide existence and multiplicity results.

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