Location

Crow 204

Start Date

7-22-2016 4:00 PM

End Date

22-7-2016 4:20 PM

Description

We study degenerate Sobolev spaces where the degeneracy is controlled by a matrix A_p weight. We prove that the classical Meyers-Serrin theorem, H = W, holds in this setting. As applications we prove partial regularity results for weak solutions of degenerate p-Laplacian equations, and in particular for mappings of finite distortion.

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Jul 22nd, 4:00 PM Jul 22nd, 4:20 PM

Matrix $A_p$ weights, degenerate Sobolev spaces, and mappings of finite distortion.

Crow 204

We study degenerate Sobolev spaces where the degeneracy is controlled by a matrix A_p weight. We prove that the classical Meyers-Serrin theorem, H = W, holds in this setting. As applications we prove partial regularity results for weak solutions of degenerate p-Laplacian equations, and in particular for mappings of finite distortion.