Question: 2. Consider Q = (x, y) ER2 : x2 + y 0 finite such that -M 2. Consider Q = {(x,y) e R2 : x-2


2. Consider Q = (x, y) ER2 : x2 + y 0 finite such that -M
2. Consider Q = {(x,y) e R2 : x-2 + Y2 < 1) . We shall assume here that the first eigenvalue of A with Dirichlet boundary conditions on Q satisfies 5 O finite such that MS inf + < O. eHol(Q) 2 You may find useful to use Hlder's and Young's inequalities to bound in terms of and to consider EU, with a relevant v HB(Q) and E 9 0.
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