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OALib Journal期刊
ISSN: 2333-9721
费用：99美元
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带非齐次项和sobolev-hardy临界指数的奇异椭圆方程的多解(英文)
, PP. 1-7
Keywords: p-阶拉普拉斯方程,临界指数,最佳常数,sobolev-hardy不等式
Abstract:
设2*=2(n+α)(n-2+β),n≥3,是极限sobolev指数,ω？rn是rn中的开子集.在f(x)∈hβ-1满足合适的条件且f(x)≠0下,讨论了一个带非齐次项和sobolev-hardy临界指数的含权的椭圆型问题:{-div(|x|β？u)=|x|αup*-1+εf(x),x∈ω,u>0,x∈ω,u=0,x∈？ω,,存在两个解u和-u在h01,,βp(ω)中,且有u≥0,u-≥0对所有的f(x)≥0.值得注意的是,当f(x)=0时一般不成立.
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