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具有低阶项的非局部椭圆及抛物问题的正解(英文)

, PP. 8-12

Keywords: 非局部问题,边值问题,正解,galerkin方法

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Abstract:

考虑了非局部边值问题{-a(∫ω|u|qdx)δu+b(l(u))u=f(x,u),inω,u=0,on?ω,及其相应的非局部抛物问题的正解存在性.其中ω是rn中的有界光滑区域,a和b是给定的函数.利用galerkin方法,首先获得了具有低阶项的非局部椭圆问题正解的存在性,进一步证明了抛物问题正解的存在性.

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