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math.AP2017★ 1 cited
The Brunn-Minkowski inequality and a Minkowski problem for nonlinear capacity
Murat Akman, Jasun Gong, Jay Hineman +2
In this article we study two classical potential-theoretic problems in convex geometry corresponding to a nonlinear capacity, $\mbox{Cap}_{\mathcal{A}}$, where -capaci…
math.AP2010
Nonhomogeneous Variational Problems and Quasi-Minimizers on Metric Spaces
Jasun Gong, Juan J. Manfredi, Mikko Parviainen
We show that quasi-minimizers of non-homogeneous energy functionals on metric measure spaces are locally Hölder continuous and satisfy the Harnack inequality. We assume that the sp…
math.AP2010★ 1 cited
A Schoenflies extension theorem for a class of locally bi-Lipschitz homeomorphisms
Jasun Gong
In this paper we prove a new version of the Schoenflies extension theorem for collared domains in Euclidean n-space: for 1 < p < n, locally bi-Lipschitz homeomorphisms between coll…