Zijian Wang

activity

20232026

collaborators

4 papers

math.AP2026

Quasilinear Equations with Exponential Reactions and Measure Data on Carnot Groups

Shiguang Ma, Zijian Wang

In this paper, we establish existence and pointwise Wolff potential bounds for nonnegative solutions of $- Δ_{G, p} u = H_{l} (α u^{β}) + μ$ on Carnot groups, where $H_l(t)=e^t-\sum_{j…

math.NA2026

The peak heat flux conjecture for the first Dirichlet eigenmode of convex planar domains

Zijian Wang, Jeremy G. Hoskins, Manas Rachh +1

In this paper, we study the scale-invariant quantity \[\mathcal{G}(Ω)=\frac{\|\partial_n u_1\|_{L^\infty(\partialΩ)}}{λ_1},\]where $u_{1}$ is the first $L^{2}$ -normalized Dirichlet Lap…

math.AP2024

$N$ -Laplacian and $N /2$ -Hessian type equations with exponential reaction term and measure data

Shiguang Ma, Zijian Wang

In this article, we will prove existence results for the equations of the type $- Δ_{N} u = H_{l} (u) + μ$ and $F_{\frac{N}{2}} [- u] = H_{l} (u) + μ$ in a bounded domain $Ω$ , with Dirichlet bou…

math.CA2023

Fourier decay of fractal measures on surfaces of co-dimension two in $R^{5}$

Zhenbin Cao, Changxing Miao, Zijian Wang

Fourier decay of fractal measures on surfaces plays an important role in geometric measure theory and partial differential equations. In this paper, we study the quadratic surfaces…

Quasilinear Equations with Exponential Reactions and Measure Data on Carnot Groups

The peak heat flux conjecture for the first Dirichlet eigenmode of convex planar domains

N -Laplacian and N/2-Hessian type equations with exponential reaction term and measure data

Fourier decay of fractal measures on surfaces of co-dimension two in R5

$N$ -Laplacian and $N /2$ -Hessian type equations with exponential reaction term and measure data

Fourier decay of fractal measures on surfaces of co-dimension two in $R^{5}$