已为您找到该学者20条结果 成果回收站
【期刊论文】A GLOBAL COMPACTNESS RESULT FOR SINGULAR ELLIPTIC PROBLEMS INVOLVING CRITICAL SOBOLEV EXPONENT
彭双阶, DAOMIN CAO AND SHUANGJIE PENG
Volume 131, Number 6, Pages 1857-1866,-0001,():
-1年11月30日
Let Ω RN be a bounded domain such that 0∈Ω,N≥3, 2*=2N/N-2,λ∈R, ∈∈R. Let {un} H10(Ω) be a (P.S.) sequence of the functional Eλ, ∈(u)=1/2 ƒΩ(|▽u|2-λu2/|x|2-∈u2)-1/2* ƒΩ|u|2*. We study the limit behaviour of un and obtain a global compactness result.
-
57浏览
-
0点赞
-
0收藏
-
0分享
-
77下载
-
0
-
引用
彭双阶, Daomin Cao a, and Shuangjie Peng a, b
J. Differential Equations 193(2003)424-434,-0001,():
-1年11月30日
Let Ω RN be a bounded domain such that 0∈Ω, N≥7, 2*=2N/2-2. We obtain existence of sign-changing solutions for the Dirichlet problem -△u=μu/|x|2+|u|2*-2u+λu on Ω, u=0 on ∂Ω for suitable positive numbers μ and λ.
Sign-changing solutions, Compactness, Critical Sobolev and Hardy exponents
-
27浏览
-
0点赞
-
0收藏
-
0分享
-
117下载
-
0
-
引用
彭双阶, Shuangjie Peng a, b, *
Nonlinear Analysis 56(2004)19-42,-0001,():
-1年11月30日
In this paper, by a constructive method, we consider a Neumann problem involving critical Sobolev exponent and obtain a uniqueness result of the symmetric single peak solutions.
Uniqueness, Neumann problem, Critical Sobolev exponent, Symmetric single peak solution, Critical point
-
29浏览
-
0点赞
-
0收藏
-
0分享
-
89下载
-
0
-
引用
【期刊论文】Existence of solutions for elliptic equations with critical Sobolev-Hardy exponents
彭双阶, Dongsheng Kanga; *, Shuangjie Peng b
Nonlinear Analysis 56(2004)1151-1164,-0001,():
-1年11月30日
Let Ω RN be a smooth bounded domain such that 0∈Ω; N≥3, 0≤s<2, 2*(s):=2(N−s)=(N−2), 2<r<2*:=2N/(N−2). Via the variational methods, We prove the existence of sign-changing solutions for the singular critical problem −△u−μu/|x|2=|u|2*(s)−2=|x|su+λ|u|r−2u with Dirichlet boundary condition on Ω for suitable positive parameters λ and μ.
Sign-changing solutions, Compactness, Critical Sobolev-Hardy exponents, Singularity
-
24浏览
-
0点赞
-
0收藏
-
0分享
-
47下载
-
0
-
引用
【期刊论文】Positive solutions for some singular critical growth nonlinear elliptic equations
彭双阶, Daomin Caoa, , Xiaoming He a, Shuangjic Peng b, c, *
Nonlinear Analysis 60(2005)589-609,-0001,():
-1年11月30日
Let Ω be a bounded domain in RN (N≥4) withsmoothboundary ∂Ω and the origin 0 ∈,μ<((N−2)/2)2, 2*=2N/(N−2), K(x) is a smoothfunction on Ω and positive somewhere.We obtain existence results of positive solutions to the Dirichlet problem −△u=μu/|x|2 +K(x)|u|2*−2u+f(x,u)on Ω, u=0 on ∂Ω for various K(x) and suitable number μ.
Positive solutions, Compactness, Critical Sobolev exponents, Hardy inequality, Singular elliptic equation
-
31浏览
-
0点赞
-
0收藏
-
0分享
-
53下载
-
0
-
引用