Problem 3. Let u be a smooth solution of Lu aªÏ µij V = |Vu|²+ Au². Show that Lv ≥ 0 in № if λ is large enough. Use this to conclude ||VU|| L (n) ≤ C(||Vu||L~ (ən) + ||u||L~ (an)). = = 0 in 2. Set

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