43 citations · 201 across the 69 of their papers we have counts for
7 papers · 1 filter
Partial regularity of stable solutions to the fractional Gel'fand-Liouville equation
Ali Hyder, Wen Yang
We analyze stable weak solutions to the fractional Gel'fand problem \begin{equation*} (-Δ)^su=e^u\quad\mathrm{in}\quad Ω\subset\mathbb{R}^n. \end{equation*} We prove that the dimen…
Prescribing Gaussian curvature on surfaces with conical singularities and geodesic boundary
Luca Battaglia, Aleks Jevnikar, Zhi-An Wang +1
We study conformal metrics with prescribed Gaussian curvature on surfaces with conical singularities and geodesic boundary in supercritical regimes. Exploiting a variational argume…
On stable and finite Morse index solutions of the nonlocal Hénon-Gelfand-Liouville equation
Mostafa Fazly, Yeyao Hu, Wen Yang
We consider the nonlocal Hénon-Gelfand-Liouville problem for every , and . We prove a monotonici…
Liouville type theorems and periodic solutions for the nonhomogeneous parabolic systems
Aleks Jevnikar, Jun Wang, Wen Yang
In the present paper we derive Liouville type results and existence of periodic solutions for type systems with non-homogeneous nonlinearities. Moreover, we prove both un…
On stable and finite Morse index solutions of the fractional Toda system
Mostafa Fazly, Wen Yang
We develop a monotonicity formula for solutions of the fractional Toda system when …
Classification of finite Morse index solutions of higher-order Gelfand-Liouville equation
Mostafa Fazly, Juncheng Wei, Wen Yang
We classify finite Morse index solutions of the following Gelfand-Liouville equation \begin{equation*} (-Δ)^{s} u= e^u \ \ \text{in} \ \ \mathbb{R}^n, \end{equation*} for a…
Classification of stable solutions to a non-local Gelfand-Liouville equation
Ali Hyder, Wen Yang
We study finite Morse index solutions to the non-local Gelfand-Liouville problem for every and . Precisely, we…