含有臨界指標(biāo)的分?jǐn)?shù)階拉普拉斯方程正解的存在性
發(fā)布時間：2018-10-19 06:55
【摘要】：在本文中,我們將用變分方法研究含臨界指標(biāo)的分?jǐn)?shù)階拉普拉斯方程正解的存在性,其中0s1,N2s,Ω是1RN中具有光滑邊界的有界區(qū)域,f ∈ H-8(RN)f ≥ 0,λ是一個實(shí)常數(shù).2(s)*=2N/n-2s是分?jǐn)?shù)階Sobolev臨界指標(biāo).我們證明了當(dāng)f及λ滿足某些條件時,方程存在兩個正解.
[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，
本文編號：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，
本文編號：2280462
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