A. Aghajani

activity

20152021

most citedPointwise bounds for positive supersolutions of nonlinear elliptic problems involving the

p

-Laplacian and application

1 citations · 2 across the 7 of their papers we have counts for

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Showing 2018Show all

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math.AP2018★ 1 cited

A note on the nonexistence of positive supersolutions to elliptic equations with gradient terms

A. Aghajani, C. Cowan

We prove that if the elliptic problem $- Δ u + b (x) ∣\nabla u ∣ = c (x) u$ with $c \geq 0$ has a positive supersolution in a domain $Ω$ of $ \IR^{N\ge 3}$, then $c, b$ must satisfy the inequalit…

math.AP2018

Explicit estimates on positive supersolutions of nonlinear elliptic equations and applications

A. Aghajani, C. Cowan

In this paper we consider positive supersolutions of the nonlinear elliptic equation \[- Δu = ρ(x) f(u)|\nabla u|^p, \qquad \hfill \mbox{ in } Ω,\] where $0 \leq p < 1$ , $Ω$ is an arb…