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Mar 17 at 16:19 comment added Liviu Nicolaescu To get the result in Jost take the domain $\Omega$ in Thm 6.2. Gilbarg-Trudinger to be the ball $B(0,r)$ in Jost Sec..2.2. You get a Holder estimate on $B(0,r)$ and thus a Holder estimate on the smaller region $B(0,r/2)$.
Mar 17 at 15:26 comment added luyao @LiviuNicolaescu I noticed it early, but the domain seems different
Mar 17 at 15:09 comment added Liviu Nicolaescu The interior Holder estimates are Theorem 6.2 in Gilbarg-Trudinger wuth complete proof. I am looking at the 1983 edition but the authors say that they have not changed chapters 1-8. They have added a new chapter 9.
S Mar 17 at 14:48 review First questions
Mar 17 at 21:30
S Mar 17 at 14:48 history asked luyao CC BY-SA 4.0