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math.AP2011★ 97 cited
Classification and nondegeneracy of Toda system with singular sources
Chang-Shou Lin, Dong Ye, Juncheng Wei
We consider the following Toda system Δu_i + \D \sum_{j = 1}^n a_{ij}e^{u_j} = 4πγ_{i}δ_{0} \text{in}\mathbb R^2, \int_{\mathbb R^2}e^{u_i} dx < \infty, \forall 1\leq i \leq n, whe…
math.AP2011★ 59 cited
A Nonlinear Elliptic PDE with Two Sobolev-Hardy Critical Exponents
YanYan Li, Chang-Shou Lin
In this paper, we consider the following PDE involving two Sobolev-Hardy critical exponents, \label{0.1} {& Δu + λ\frac{u^{2^*(s_1)-1}}{|x|^{s_1}} + \frac{u^{2^*(s_2)-1}}{|x|^{s_2}…