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 2014 · math.APShow all

3 papers · 2 filters

math.AP2014

Nonexistence of Positive Supersolutions of Nonlinear Biharmonic Equations without the Maximum Principle

Marius Ghergu, Steven D. Taliaferro

We study classical positive solutions of the biharmonic inequality $- Δ^{2} v \geq f (v)$ in exterior domains in $R^{n}$ where $f : (0, \infty) \to (0, \infty)$ is continuous functio…

math.AP2014

Asymptotic behavior at isolated singularities for solutions of nonlocal semilinear elliptic systems of inequalities

Marius Ghergu, Steven D. Taliaferro

We study the behavior near the origin of $C^{2}$ positive solutions $u (x)$ and $v (x)$ of the system $0 \leq - Δ u \leq (\frac{1}{∣ x ∣ ^{α}} * v)^{λ}$ $0 \leq - Δ v \leq (\frac{1}{∣ x ∣ ^{β}} * u)^{σ}$ in $B_…

math.AP2014

Pointwise Bounds and Blow-up for Systems of Semilinear Elliptic Inequalities at an Isolated Singularity via Nonlinear Potential Estimates

Marius Ghergu, Steven D. Taliaferro, Igor E. Verbitsky

We study the behavior near the origin of $C^{2}$ positive solutions $u (x)$ and $v (x)$ of the system $0 \leq - Δ u \leq f (v)$ $0 \leq - Δ v \leq g (u)$ in $B_{1} (0) \ {0}$ where $f,g:(0…