标题： 分数阶$p$-拉普拉斯方程与夹层对 显示英文标题

标题： Fractional $p$-Laplacian equations with sandwich pairs

摘要： 本文的主要目的是考虑新的夹层对，并通过变分方法在$\psi$-分数阶空间$\mathbb{H}^{\alpha,\beta;\psi}_{p}(\Omega)$中研究一类具有$p$-拉普拉斯算子的新分数阶微分方程解的存在性。 本文获得的结果是首次利用具有$p$-拉普拉斯算子的$\psi$-希尔弗分数阶算子理论。 显示英文摘要

摘要： The main purpose of this paper is to consider new sandwich pairs and investigate the existence of solution for a new class of fractional differential equations with $p$-Laplacian via variational methods in $\psi$-fractional space $\mathbb{H}^{\alpha,\beta;\psi}_{p}(\Omega)$. The results obtained in this paper are the first to make use of the theory of $\psi$-Hilfer fractional operators with $p$-Laplacian.