Pointwise bounds and blow-up for Choquard-Pekar inequalities at an isolated singularity Academic Article uri icon


  • 2016 Elsevier Inc. We study the behavior near the origin in Rn,n3, of nonnegative functions. uC2(Rn)L(Rn) satisfying the Choquard-Pekar type inequalities. 0-u(|x|-*u)u in B2(0){0} where (0, n), > 0, and 0 are constants and * is the convolution operation in Rn. We provide optimal conditions on , , and such that nonnegative solutions u of (0.1), (0.2) satisfy pointwise bounds near the origin.

published proceedings


altmetric score

  • 0.5

author list (cited authors)

  • Ghergu, M., & Taliaferro, S. D.

citation count

  • 25

complete list of authors

  • Ghergu, Marius||Taliaferro, Steven D

publication date

  • July 2016