159 citations
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Showing 2017 · math.APShow all
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math.AP2017
Regularity of quasi-n-harmonic mappings into NPC spaces
Chang-Yu Guo, Chang-Lin Xiang
We prove local Holder continuity of quasi-n-harmonic mappings from Euclidean domains into metric spaces with non-positive curvature in the sense of Alexandrov. We also obtain globa…
math.AP2017★ 22 cited
Multi-peak positive solutions to a class of Kirchhoff equations
Peng Luo, Shuangjie Peng, Chunhua Wang +1
In the present paper, we consider the nonlocal Kirchhoff problem \begin{eqnarray*} -\left(ε^2a+εb\int_{\mathbb{R}^{3}}|\nabla u|^{2}\right)Δu+V(x)u=u^{p},\,\,\,u>0 & & \text{in }\m…
math.AP2017★ 76 cited
Uniqueness and Nondegeneracy of positive solutions to Kirchhoff equations and its applications in singular perturbation problems
Gongbao Li, Peng Luo, Shuangjie Peng +2
In the present paper, we establish the uniqueness and nondegeneracy of positive energy solutions to the Kirchhoff equation \begin{eqnarray*} -\left(a+b\int_{\mathbb{R}^{3}}|\nabla…