From the 1 of 12 linked papers with an AI index.
12 papers
Qualitative bifurcation diagram for Grad-Shafranov type equations
Daniele Bartolucci, Guangze Gu, Aleks Jevnikar +2
The paper investigates qualitative properties of solutions to Grad‑Shafranov type equations, providing conditions for uniqueness, monotonicity and non‑existence of free boundaries…
Isolated Singularities for Fractional Hartree Equations
Guangze Gu, Aleks Jevnikar, Zhipeng Yang
We study isolated singularities of positive solutions to a fractional Hartree equation with Riesz interaction, \[ (-Î)^s u = \left( \int_{\mathbb{R}^N\setminus\{0\}} \frac{u^p(y)}…
Sharp spectral estimates for free boundary problems arising in plasma physics
Daniele Bartolucci, Aleks Jevnikar, Juncheng Wei +1
We derive a sharp spectral estimate for a superlinear free boundary problem arising in plasma physics. The semilinear equation is coupled with a constraint, which forces the analys…
The Rabinowitz continuum of subcritical Gelfand problems and free boundary-type equations arising in plasma physics
Daniele Bartolucci, Aleks Jevnikar, Juncheng Wei +1
The qualitative behavior of the Rabinowitz unbounded continuum of subcritical Gelfand problems is well known on balls in any dimension. We don't know of any such sharp and detailed…
Existence results for a non-relativistic Chern-Simons model with purely mutual interaction
Aleks Jevnikar, Sang-Hyuck Moon
We are concerned with a skew-symmetric singular Liouville system arising in non-relativistic Chern-Simons theory. Based on its variational structure, we establish existence and mul…
Critical sinh-Gordon flow with non-negative weight functions
Qiang Fei, Aleks Jevnikar, Sang-Hyuck Moon
The aim of this article is twofold: one one side we introduce and study the properties of a critical sinh-Gordon type flow \begin{equation*} {\frac{\partial}{\partial t}}e^u=Î_gu+…