# Preprints available online

## Submitted Papers and Preprints:

### (with W. Ao and M. Musso) Nondegeneracy of nonradial sign-changing solutions to the nonlinear Schrodinger equations (with W. Ao and H. Chan) Boundary concentrations on segments (with Juan Davila and Manuel del Pino) Nonlocal $s$-minimal surfaces and Lawson cones (with M. del Pino and O.Agudelo) Liouville's equation and transition layers near a higher dimensional catenoid (with M. del Pino and O.Agudelo) Catenoidal layers for the Allen-Cahn equation in bounded domains (with M. Fazly) On stable solutions of the fractional Henon-Lane-Emden equation (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 S. Kim and M. Musso) A non-compactness result on the fractional Yamabe problem in large dimensions (with CS Lin and W. Yang) Degree counting and shadow system for $SU(3)$ Toda system: one bubbling (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 Serrin's overdetermined problem and a conjecture of Berestycki, Caffarelli and Nirenberg (with M. Winter) Stable spike clusters for the one-dimensional Gierer-Meinhardt system (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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