Fucik特征值均匀化的最优分割方法
Homogenization of Fucik eigenvalues by optimal partition methods
摘要：
给定$\mathbb{R}^N$中的一个有界区域$Ω$，$N\geq 1$研究了具有Dirichlet边界条件的$$ -Δ_p u_\varepsilon=α_\varepsilon m(\tfrac{x}{\varepsilon})(u_\varepsilon^+ )^{p-1} - β_\varepsilon n(\tfrac{x}{\varepsilon})(u_\varepsilon^- )^{p-1} \quad \textrm{ in } Ω$$的特征曲线作为$\varepsilon \to 0$的渐近行为，其中$m$和$n$是有界周期权.本文给出了这类曲线收敛到极限曲线$\varepsilon \to 0$的收敛速度的精确界。
英文摘要：
Given a bounded domain $Ω$ in $\mathbb{R}^N$, $N\geq 1$ we study the asymptotic behavior as $\varepsilon \to 0$ of the eigencurves of $$ -Δ_p u_\varepsilon=α_\varepsilon m(\tfrac{x}{\varepsilon})(u_\varepsilon^+ )^{p-1} - β_\varepsilon n(\tfrac{x}{\varepsilon})(u_\varepsilon^- )^{p-1} \quad \textrm{ in } Ω$$ with Dirichlet boundary conditions, where $m$ and $n$ are bounded periodic weights. In this work we obtain accurate bounds of the convergence rates of these curves to some limit curves as $\varepsilon \to 0$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
