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arXiv · 2008.00114

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

Alessio Fiscella·Andrea Pinamonti
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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 $W^{1,\mathcal H}_0(\Omega)$, with modular function $\mathcal H$ related to the so called double phase operator. Via a variational approach, we provide existence and multiplicity results.

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Alessio Fiscella, Andrea Pinamonti. 2020-07-31. Existence and multiplicity results for Kirchhoff type problems on a double phase setting. https://arxiv.org/abs/2008.00114

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