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OALib Journal期刊
ISSN: 2333-9721
费用：99美元
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含临界指数的双调和问题非平凡解的存在性(英文)
, PP. 1-5
Keywords: 双调和方程,sobolev临界指数,非平凡解
Abstract:
讨论如下含临界指数的双调和方程非平凡解的存在性δ2u=μu|x|s+|u|2*-2u+λu+f(x),x∈ω,u=uv=0,x∈ω.其中ωrn是有界光滑区域,0∈ω,n≥5,0≤s≤4,0≤μ<μ-=n(n4-4)2,2*=n2-n4为w2,2(ω)中sobolev嵌入的临界指数,u,v表示ω的外法线方向,f(x)为给定函数.通过变分方法,我们证明了含临界指数的双调和方程非平凡解的存在性.
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