# Preprints available online

## Submitted Papers and Preprints:

### (with WW Ao, M. Musso and F. Pacard) Solutions without any symmetry for semilinear elliptic problems (with Juan Davila and Manuel del Pino) Nonlocal $s$-minimal surfaces and Lawson cones (with Juan Davila and L. Dupaigne) On the fractional Lane-Emden equation (with M. del Pino and O.Agudelo) Liouville's equation and transition layers near a higher dimensional catenoid (with M. Fazly and X. Xu) A point-wise inequality for the fourth order Lane-Emden equation (with M. Fazly) On finite Morse index solutions of higher order fractional Lane-Emden equation (with M. Fazly) On stable solutions of the fractional Henon-Lane-Emden equation (with M. Grossi and F. Gladiali) On a general $SU(3)$ Toda system (with Changfeng Gui and Yong Liu) Two-end solutions to the Allen-Cahn equation in $\mathbb{R}^3$ (with ZM Guo) Entire solutions and global bifurcations for a biharmonic equation with singular nonlinearity (with YX Guo) Infinitely many positive solutions for nonlinear Schr\"{o}dinger system with nonsymmetric first order (with Meiyue Jiang) $2\pi$-periodic self-similar solutions for the anisotropic affine curve shortening problem II (with Yanyan Li and H. Xu) Multi-bump solutions of $-\Delta u =K(x)u^{\frac{n+2}{n-2}}$ on Lattices in ${\mathbb R}^n$ (with CS Lin and L. Zhang) Classification of blowup limits for $SU(3)$ singular Toda systems (with CS Lin and L. Zhang) Local profile of fully bubbling solutions to SU(n+1) Toda Systems (with CS Lin and L. Zhang) Convergence rate, location and $\partial_z^2$ condition for fully bubbling solutions to $SU(n+1)$ Toda systems (with CS Lin and W. Yang) Degree counting and shadow system for $SU(3)$ Toda system: one bubbling (with M. Musso) Nondegeneracy of nonradial nodal solutions to Yamabe problem (with M. Musso) Sign-changing blowing-up solutions for supercritical Bahri-Corn's problem (with M. Musso and S. Yan) Infinitely many positive solutions for an nonlinear field equation with super-critical growth (with A. Pistoia and M. Musso) New blow-up phenomena for {\em SU(n+1)} Toda system (with Kelei Wang) On the uniqueness of solutions of an nonlocal elliptic system (with Kelei Wang) On Serrin's overdetermined problem and a conjecture of Berestycki, Caffarelli and Nirenberg (with M. Winter) Stability of new spike solutions in a supply chain model (with Wen Yang) Multi-bump ground states of the fractional Gierer-Meinhardt system on the real line (with Liqun Zhang) On the effect of domain shape on the existence of large solutions of some spuerlinear elliptic problems,

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