97 citations · 579 across the 69 of their papers we have counts for
46 papers · 1 filter
On the first eigenvalue of Liouville-type problems
Daniele Bartolucci, Paolo Cosentino, Aleks Jevnikar +1
The aim of this note is to study the spectrum of a linearized Liouville-type problem, characterizing the case in which the first eigenvalue is zero. Interestingly enough, we obtain…
Non-degeneracy and uniqueness of solutions to general singular Toda systems on bounded domains
Daniele Bartolucci, Aleks Jevnikar, Jiaming Jin +2
In this note we show non-degeneracy and uniqueness results for solutions of Toda systems associated to general simple Lie algebras with multiple singular sources on bounded domains…
On number and evenness of solutions of the Toda system on flat tori with non-critical parameters
Zhijie Chen, Chang-Shou Lin
We study the Toda system with singular sources \[ \begin{cases} Δu+2e^{u}-e^v=4π\sum_{k=0}^m n_{1,k}δ_{p_k}\quad\text{ on }\; E_τ,\\ Δv+2e^{v}-e^u=4π\sum_{k=0}^m n_{2,k}δ_{…
Blow up at infinity in the SU(3) Chern-Simons model, part I
Ting-Jung Kuo, Youngae Lee, Chang-Shou Lin
We consider non-topological solutions of a nonlinear elliptic system problem derived from the Chern-Simons models in . The existence of non-topological soluti…
On Toda system with multiple singular sources
Ali Hyder, Chang-Shou Lin, Juncheng Wei
We consider the singular Toda system with multiple singular sources \begin{align*} \left\{\begin{array}{ll}-Δw_1=2e^{2w_1}-e^{w_2}+2π\sum_{\ell=1}^mβ_{1,\ell}δ_{P_{\ell}}\q…
Existence of bubbling solutions without mass concentration
Youngae Lee, Chang-Shou Lin, Wen Yang
The seminal work \cite{bm} by Brezis and Merle has been pioneering in studying the bubbling phenomena of the mean field equation with singular sources. When the vortex points are n…