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Hello,

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!

flag	asked Aug 2 at 21:11 Idempotent 23●2

Francois Monard · Accepted Answer · 2012-08-02 21:38:05Z UTC

2

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

answered Aug 2 at 21:38

Francois Monard
96●2

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

Seeking reference on regularity theory for nonlinear elliptic PDE

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