97 citations · 579 across the 69 of their papers we have counts for
72 papers
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…
The tt*-Toda equations of A_n type
Martin A. Guest, Alexander R. Its, Chang-Shou Lin
In previous articles we have studied the A_n tt*-Toda equations (topological-antitopological fusion equations of Toda type) of Cecotti and Vafa, giving details mainly for n=3. Here…
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…
Co-Axial Metrics on the Sphere and Algebraic Numbers
Zhijie Chen, Chang-Shou Lin, Yifan Yang
In this paper, we consider the following curvature equation $$Δu+{\rm e}^u=4π\biggl((θ_0-1)δ_0+(θ_1-1)δ_1 +\sum_{j=1}^{n+m}\bigl(θ_j'-1\bigr)δ_{t_j}\biggr)\qquad \text{in}\ \mathbb…
Monodromy of a generalized Lame equation of third order
Zhijie Chen, Chang-Shou Lin
We study the monodromy of the following third order linear differential equation \[y'''(z)-(α\wp(z;τ)+B)y'(z)+β\wp'(z;τ)y(z)=0, \] where is a parameter, …
Metrics with positive constant curvature and modular differential equations
Jia-Wei Guo, Chang-Shou Lin, Yifan Yang
In this paper, we consider the problem when a differential equation y"(z)=Q(z)y(z) is Fuchsian on H* and apparent on H, where Q(z) is a meromorphic modular form of weight 4 on SL(2…