Phuong Le

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math.AP2025

Monotonicity in half-spaces for singular quasilinear elliptic problems involving the gradient

Phuong Le

We study positive solutions to the problem $- Δ_{p} u + ϑ ∣\nabla u ∣^{q} = \frac{1}{u ^{γ}} + f (u)$ in $R_{+}^{N}$ with the zero Dirichlet boundary condition, where $p > 1$ , $γ>…

math.AP2025

Boundary estimates for singular elliptic problems involving a gradient term

Phuong Le

We study the behavior of weak solutions to the singular quasilinear elliptic problem $- Δ_{p} u + ϑ ∣\nabla u ∣^{q} = \frac{1}{u ^{γ}} + f (u)$ , in a bounded domain with the Dirichle…

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…