S. Taliaferro

activity

20092020

most citedPointwise Bounds and Blow-up for Nonlinear Polyharmonic Inequalities

2 citations · 2 across the 12 of their papers we have counts for

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Showing 2015 · math.APShow all

3 papers · 2 filters

math.AP2015

Pointwise Bounds and Blow-up for Choquard-Pekar Inequalities at an Isolated Singularity

Marius Ghergu, Steven D. Taliaferro

We study the behavior near the origin in $R^{n}, n \geq 3$ , of nonnegative functions \begin{equation}\label{0.1} u\in C^2 (\mathbb{R}^n \backslash \{0\})\cap L^λ(\mathbb{R}^n…

math.AP2015★ 2 cited

Pointwise Bounds and Blow-up for Nonlinear Polyharmonic Inequalities

Steven D. Taliaferro

We obtain results for the following question where $m \geq 1$ and $n \geq 2$ are integers. Question. For which continuous functions $f : [0, \infty) \to [0, \infty)$ does there exist…

math.AP2015

Pointwise Bounds and Blow-up for Systems of Semilinear Parabolic Inequalities and Nonlinear Heat Potential Estimates

Marius Ghergu, Steven D. Taliaferro

We study the behavior for $t$ small and positive of $C^{2, 1}$ nonnegative solutions $u (x, t)$ and $v (x, t)$ of the system \[0\leq u_t-Δu\leq v^λ\] \[0\leq v_t-Δv\leq u^σ\] in $Ω\time…