Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
839334 | Nonlinear Analysis: Theory, Methods & Applications | 2016 | 10 Pages |
Abstract
We obtain a local gradient estimate for weak solutions of pp-Laplacian type equation in a non-smooth domain composed of a finite number of disjoint subdomains with (δ0,R)(δ0,R)-Reifenberg flat boundaries. This kind of domain was called (δ0,R)(δ0,R) composite-Reifenberg domain, which allows certain subdomain to exist with highly non-smooth boundaries worse than Reifenberg domain. Our results improve the known results for such equations.
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Authors
Chao Zhang,