Isolated singularities of polyharmonic inequalities Academic Article uri icon

abstract

  • We study nonnegative classical solutions u of the polyharmonic inequality. -mu0inB1(0)-{0}cRn. We give necessary and sufficient conditions on integers n2 and m1 such that these solutions u satisfy a pointwise a priori bound as x0. In this case we show that the optimal bound for u is u(x)=O((x))asx0 where is the fundamental solution of - in Rn. 2011 Elsevier Inc.

published proceedings

  • Journal of Functional Analysis

author list (cited authors)

  • Ghergu, M., Moradifam, A., & Taliaferro, S. D.

citation count

  • 7

complete list of authors

  • Ghergu, Marius||Moradifam, Amir||Taliaferro, Steven D

publication date

  • August 2011