论文标题
在双期设置上的Kirchhoff类型问题的存在和多样性结果
Existence and multiplicity results for Kirchhoff type problems on a double phase setting
论文作者
论文摘要
在本文中,我们研究了在双相框架上设定的两类Kirchhoff类型问题。也就是说,找到解决方案的功能空间与Musielak-orlicz-Sobolev空间$ W^{1,\ Mathcal H} _0(ω)$一致,带有模块化函数$ \ MATHCAL H $与所谓的双相操作员有关。通过各种方法,我们提供存在和多重性结果。
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 $W^{1,\mathcal H}_0(Ω)$, with modular function $\mathcal H$ related to the so called double phase operator. Via a variational approach, we provide existence and multiplicity results.