Pointwise bounds and blow-up for nonlinear polyharmonic inequalities
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We obtain results for the following question where m1 and n2 are integers. Question. For which continuous functions f:[0,)[0, ) does there exist a continuous function :(0,1)(0,) such that every C2m nonnegative solution u(x) of0- muf(u)inB2(0){0}Cn satisfiesu(x)=O((|x|))asx0 and what is the optimal such when one exists? 2013 Elsevier Masson SAS. All rights reserved.