From the 1 of 5 linked papers with an AI index.
5 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)}…
On nonlinear elliptic problems with Hardy-Littlewood-Sobolev critical exponent and Sobolev-Hardy critical exponent
Guangze Gu, Aleks Jevnikar
In this paper we use variational methods to establish the existence of solutions for a class of nonlinear elliptic problems involving a combined convolution-type and Hardy nonlinea…
Nonlocal problems with Hardy-Littlewood-Sobolev critical exponent and Hardy potential
Guangze Gu, Aleks Jevnikar
We are concerned with a Brezis-Nirenberg type problem for a critical Choquard equation, in the sense of Hardy-Littlewood-Sobolev inequality, and with the Hardy potential in a smoot…
Symmetry and monotonicity of singular solutions for the Hartree equation
Ying Cai, Guangze Gu, Aleks Jevnikar
In this paper we are concerned with positive singular solutions of the following nonlocal Hartree equation $$-Îu\!=\Big( \int_{\mathbb{R}^N\setminus Î}\frac{F(u(y))}{|x-y|^μ}dy…