Question: Question 6 (10 marks) Let Us = U X (0,7), where U is an open, bounded set of Rr with @U E C. Set Ty

Question 6 (10 marks) Let Us = U X (0,7), where

Question 6 (10 marks) Let Us = U X (0,7), where U is an open, bounded set of Rr with @U E C. Set Ty =r\UT. Assume that u e C (U) OC(T) and 72 Lu - , + - brust is uniformly elliptic in Ur. 1 Prove that if u + Lu > 0 in Ur, then min u = min u. Question 6 (10 marks) Let Us = U X (0,7), where U is an open, bounded set of Rr with @U E C. Set Ty =r\UT. Assume that u e C (U) OC(T) and 72 Lu - , + - brust is uniformly elliptic in Ur. 1 Prove that if u + Lu > 0 in Ur, then min u = min u.

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