| Abstract: |
| We study general $p$-Laplacian type functionals with matrix weights, which may cause degeneracy, singularity, or both. We establish an optimal Calderon-Zygmund theory for any $\omega$-minimizer of such weighted energy functionals under a smallness log-BMO condition on the matrix weight and quantitative control of $\omega$-minimality, the weighted gradient enjoys the same integrability as the weighted nonhomogeneous term. This is joint work with Sun-sig Byun. |
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