John L. Lewis

collaborators

2 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.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

p Harmonic Measure in Simply Connected Domains

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