含有临界指标的分数阶拉普拉斯方程正解的存在性
发布时间：2018-10-19 06:55
【摘要】：在本文中,我们将用变分方法研究含临界指标的分数阶拉普拉斯方程正解的存在性,其中0s1,N2s,Ω是1RN中具有光滑边界的有界区域,f ∈ H-8(RN)f ≥ 0,λ是一个实常数.2(s)*=2N/n-2s是分数阶Sobolev临界指标.我们证明了当f及λ满足某些条件时,方程存在两个正解.
[Abstract]:In this paper, we will use the variational method to study the existence of positive solutions for fractional Laplace equations with critical indices. Where 0 s 1 n 2 s, 惟 is a bounded region with smooth boundary in 1RN, f 鈭，
本文编号：2280462
[Abstract]:In this paper, we will use the variational method to study the existence of positive solutions for fractional Laplace equations with critical indices. Where 0 s 1 n 2 s, 惟 is a bounded region with smooth boundary in 1RN, f 鈭，
本文编号：2280462
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