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I am searching for a reference on a result I know must exist proving regularity for weak solutions of a (nonlinear, but well-behaved) elliptic homogeneous PDE. Working over say a bounded open subset of $\mathbb{R}^n$ would be fine, and I don't need to deal with very nonlinear PDE - quasilinear is enough for me. If someone can help locate a reference, I'd be very grateful!

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up vote 3 down vote accepted

"Elliptic Partial Differential Equations of Second Order" by David Gilbarg and Neil S. Trudinger

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Oh, thank you! I really appreciate it. Headed to library. :-) – Idempotent Aug 2 '12 at 21:39

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