已为您找到该学者20条结果 成果回收站
【期刊论文】The asymptotic behaviour of the ground state solutions for Hénon equation
彭双阶, Daomin Cao a, * and Shuangjie Peng a, b
J. Math. Anal. Appl. 278(2003)1-17,-0001,():
-1年11月30日
The main purpose of this paper is to analyze the asymptotic behaviour of the ground state solution of Hénon equation −Δu=|x|αup−1 in Ω, u=0 on ∂Ω (Ω Rn is a ball centered at the origin). It proved that for p close to 2*= 2n/(n−2) (n≥3), the ground state solution up has a unique maximum point xp and dist(xp, ∂Ω)→0 as p→2*. The asymptotic behaviour of up is also given, which deduces that the ground state solution is non-radial.
-
61浏览
-
0点赞
-
0收藏
-
0分享
-
135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 multiple positive solutions for inhomogeneous Neumann problem☆
彭双阶, Yinbin Deng* and Shuangjie Peng
J. Math. Anal. Appl. 271(2002)155-174,-0001,():
-1年11月30日
In this paper, we study the existence and nonexistence of multiple positive solutions for the inhomogeneous Neumann boundary value problem Δu+up−λu=0, with Dγu=ϕ(x), (*) under some assumptions on the boundary ∂Ω and the function ϕ(x). For ϕ(x)≥0, ϕ(x) 0, ϕ(x) ∈Cα( ), it is shown that there exists a constant λ*>0 such that problem (*) possesses at least two positive solutions if λ∈ (λ*,∞) and at least one positive solution if λ=λ*. Furthermore, there are no positive solutions for problem (*) if λ∈ (-∞, λ*).
Neumann problem, Positive solution, Supersolution and subsolution
-
37浏览
-
0点赞
-
0收藏
-
0分享
-
88下载
-
0
-
引用
【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