6 citations · 20 across the 14 of their papers we have counts for
14 papers
A Quantitative Pólya--Szegő Theorem for Tangential Polygons
Changfeng Gui, Yeyao Hu, Qinfeng Li
For a bounded Lipschitz domain , let denote its torsional rigidity, where in and on . We prove a quantit…
Sharp Logarithmic Ultra-analyticity for Fractional and Nonlocal Elliptic Equations
Hongjie Dong, Yeyao Hu, Ming Wang
It is well known that solutions of elliptic equations inherit analyticity from analytic coefficients, while much less is understood about the inheritance of ultra-analytic regulari…
Mixed Torsion on Right Triangles and the Pólya--Szegő Monotonicity Problem for Regular Polygons
Changfeng Gui, Yeyao Hu, Qinfeng Li +1
Motivated by the polygonal Pólya--Szegő conjecture for torsional rigidity, we study two monotonicity problems for torsional rigidity. The first concerns a mixed torsion problem on…
Global Strict Monotonicity and Asymptotics of the First Steklov Eigenvalue for Regular Polygons
Zhuo Cheng, Changfeng Gui, Yeyao Hu +2
For a bounded Lipschitz planar domain , let denote its first nonzero Steklov eigenvalue. Let be the regular -gon normalized to have perimeter . We prove th…
A Lane-Emden system of free boundary type: existence, uniqueness and monotonicity of solutions
Daniele Bartolucci, Yeyao Hu, Aleks Jevnikar +2
We consider a Hamiltonian system of free boundary type, showing first uniform bounds and existence of solutions and of the free boundary. Then, for any smooth and bounded domain, w…
On smooth interior approximation of Sets of Finite Perimeter
Changfeng Gui, Yeyao Hu, Qinfeng Li
In this paper, we prove that for any bounded set of finite perimeter , we can choose smooth sets such that in and \…
Generic properties of the Rabinowitz continuum
Daniele Bartolucci, Yeyao Hu, Aleks Jevnikar +1
In this paper we prove that generically, in the sense of domain variations, the unbounded Rabinowitz continuum of solutions to a nonlinear eigenvalue problem is a simple analytic c…
Improved Beckner's inequality for axially symmetric functions on
Changfeng Gui, Yeyao Hu, Weihong Xie
In this article we present various uniqueness and existence results for Q-curvature type equations with a Paneitz operator on $\s^n$ in axially symmetric function spaces. In partic…
Improved Beckner's inequality for axially symmetric functions on
Changfeng Gui, Yeyao Hu, Weihong Xie
We show that axially symmetric solutions on to a constant -curvature type equation (it may also be called fourth order mean field equation) must be constant, prov…
Infinitely many solutions for Schrödinger-Newton equations
Yeyao Hu, Aleks Jevnikar, Weihong Xie
We prove the existence of infinitely many non-radial positive solutions for the Schrödinger-Newton system $$ \left\{\begin{array}{ll} Δu- V(|x|)u + Ψu=0, &x\in\mathbb{R}^3,\newline…
Generic properties of free boundary problems in plasma physics
Daniele Bartolucci, Yeyao Hu, Aleks Jevnikar +1
We are concerned with the global bifurcation analysis of positive solutions to free boundary problems arising in plasma physics. We show that in general, in the sense of domain var…
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…
Mean field equations on tori: existence and uniqueness of evenly symmetric blow-up solutions
Daniele Bartolucci, Changfeng Gui, Yeyao Hu +2
We are concerned with the blow-up analysis of mean field equations. It has been proven in [6] that solutions blowing-up at the same non-degenerate blow-up set are unique. On the ot…
Non-axially symmetric solutions of a mean field equation on
Changfeng Gui, Yeyao Hu
We prove the existence of a family of blow-up solutions of a mean field equation on sphere. The solutions blow up at four points where the minimum value of a potential energy funct…