Quasilinear elliptic equations with BMO coefficients in Lipschitz domains

Byun, Sun-Sig; Wang, Lihe

doi:10.1090/S0002-9947-07-04238-9

Quasilinear elliptic equations with BMO coefficients in Lipschitz domains
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by Sun-Sig Byun and Lihe Wang PDF

Trans. Amer. Math. Soc. 359 (2007), 5899-5913 Request permission

Abstract:

We obtain a global $W^{1,q}$ estimate for the weak solution to an elliptic partial differential equation of $p$-Laplacian type with BMO coefficients in a Lipschitz domain with small Lipschitz constant.

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