John L. Lewis

activity

20092019

most citedGradient bounds for p-harmonic systems with vanishing neumann data in a convex domain

2 citations · 2 across the 3 of their papers we have counts for

collaborators

3 papers

math.AP2019

Note on an eigenvalue problem with applications to a Minkowski type regularity problem in $R$ ^n

Murat Akman, John Lewis, Andrew Vogel

We consider existence and uniqueness of homogeneous solutions $u > 0$ to certain PDE of $p$ -Laplace type, $p$ fixed, $n - 1 < p < \infty, n \geq 2,$ when $u$ is a solution in…

math.AP2013★ 2 cited

Gradient bounds for p-harmonic systems with vanishing neumann data in a convex domain

Agnid Banerjee, John L. Lewis

Let $ \ti \Om $ be a bounded convex domain in Euclidean $n$ space, $ \hat x \in \ar \ti \Om, $ and $r > 0.$ Let $ \ti u = (\ti u^1, \ti u^2, \dots, \ti u^N) $ be a weak solutio…

math.CV2009

p Harmonic Measure in Simply Connected Domains

John Lewis, Kaj Nyström, Pietro Poggi-Corradini

We extend to all planar simply connected domains Makarov-type results about the Hausdorff dimension of $p$ -harmonic measure pioneered by Lewis and Bennewitz in the context of quasi…

Note on an eigenvalue problem with applications to a Minkowski type regularity problem in R^n

Gradient bounds for p-harmonic systems with vanishing neumann data in a convex domain

p Harmonic Measure in Simply Connected Domains

Note on an eigenvalue problem with applications to a Minkowski type regularity problem in $R$ ^n