Phuong Le

activity

20202026

most citedA survey on combinatorial optimization

2 citations · 3 across the 9 of their papers we have counts for

collaborators

9 papers

math.AP2026

An improved strong comparison principle for singular $p$ -Laplace equations, with applications

Phuong Le

We consider positive weak solutions of $- Δ_{p} u = f (u)$ , with $f$ positive and locally Lipschitz continuous. In the singular case $1 < p < 2$ , the Harnack-type inequalities, the strong ma…

math.AP2025

Sharp boundary asymptotics and monotonicity for singular quasilinear elliptic equations with gradient terms in half-spaces

Phuong Le

We establish sharp boundary asymptotics for directional derivatives and monotonicity of positive weak solutions to $- Δ_{p} u + ϑ ∣\nabla u ∣^{q} = u^{- γ} + f (u)$ in the half-space $\ma…

math.AP2025

Boundary estimates for singular elliptic problems involving a gradient term

Phuong Le

We study bounded positive weak solutions of the singular quasilinear problem $- Δ_{p} u + ϑ ∣\nabla u ∣^{q} = u^{- γ} + f (u)$ in a bounded $C^{2}$ domain, with zero Dirichlet boundary data…

math.AP2024★ 1 cited

Symmetry of bounded solutions to quasilinear elliptic equations in a half-space

Phuong Le

Let $u$ be a bounded positive solution to the problem $- Δ_{p} u = f (u)$ in $R_{+}^{N}$ with zero Dirichlet boundary condition, where $p > 1$ and $f$ is a locally Lipschitz continu…

math.AP2024

Quasilinear elliptic problems with singular nonlinearities in half-spaces

Phuong Le

We study the monotonicity and one-dimensional symmetry of positive solutions to the problem $- Δ_{p} u = f (u)$ in $R_{+}^{N}$ under zero Dirichlet boundary condition, where $p > 1$ …

math.AP2024

Singular semilinear elliptic equations in half-spaces

Phuong Le

We prove the monotonicity of positive solutions to the problem $- Δ u = f (u)$ in $R_{+}^{N} := {(x^{'}, x_{N}) \in R^{N} ∣ x_{N} > 0}$ under zero Dirichlet boundary condition w…

math.AP2024

On $p$ -Laplace equations with a critical Hardy-Sobolev exponent and a Hardy potential

Phuong Le

For $N \geq 2$ and $1 < p < N$ , we classify all positive $D^{1, p} (R^{N})$ -solutions to $p$ -Laplace equations with a critical Hardy-Sobolev exponent and a Hardy potential.

math.OC2024★ 2 cited

A survey on combinatorial optimization

Phuong Le

This survey revisits classical combinatorial optimization algorithms and extends them to two-stage stochastic models, particularly focusing on client-element problems. We reformula…

math.DS2020

Symmetric relative equilibria with one dominant and four infinitesimal point vortices

Alanna Hoyer-Leitzel, Sophie Phuong Le

We investigate the symmetry of point vortices with one dominant vortex and four vortices with infinitesimal circulations in the (1+4)-vortex problem, a subcase of the five-vortex p…

An improved strong comparison principle for singular p-Laplace equations, with applications

Sharp boundary asymptotics and monotonicity for singular quasilinear elliptic equations with gradient terms in half-spaces

Boundary estimates for singular elliptic problems involving a gradient term

Symmetry of bounded solutions to quasilinear elliptic equations in a half-space

Quasilinear elliptic problems with singular nonlinearities in half-spaces

Singular semilinear elliptic equations in half-spaces

On p-Laplace equations with a critical Hardy-Sobolev exponent and a Hardy potential

A survey on combinatorial optimization

Symmetric relative equilibria with one dominant and four infinitesimal point vortices

An improved strong comparison principle for singular $p$ -Laplace equations, with applications

On $p$ -Laplace equations with a critical Hardy-Sobolev exponent and a Hardy potential