A. Karakhanyan

activity

20082026

most citedPotential theoretic approach to Schauder estimates for the fractional Laplacian

3 citations · 11 across the 30 of their papers we have counts for

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Showing 2016 · math.APShow all

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math.AP2016

A nonlinear free boundary problem with a self-driven Bernoulli condition

Serena Dipierro, Aram Karakhanyan, Enrico Valdinoci

We study a Bernoulli type free boundary problem with two phases $$J[u]=\int_Ω|\nabla u(x)|^2\,dx+Φ\big({\mathcal M}_-(u), {\mathcal{M}}_+(u)\big), \quad u-\bar u\in W^{1,2}_0(Ω), $…

math.AP2016★ 3 cited

Potential theoretic approach to Schauder estimates for the fractional Laplacian

Claudia Bucur, Aram L. Karakhanyan

We present an elementary approach for the proof of Schauder estimates for the equation $(- Δ)^{s} u (x) = f (x), 0 < s < 1$ , with $f$ having a modulus of continuity $ω_{f}$ , based on the Pois…