Pointwise bounds and blow-up for ChoquardPekar inequalities at an isolated singularity | Academic Article individual record
abstract

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.

publication outlet

Journal of Differential Equations

author list (cited authors)
Ghergu, M., & Taliaferro, S. D.
publication date
2016
publisher
Elsevier bv Publisher
keywords
  • 10 Reduced Inequalities
altmetric score

0.5

citation count

25

identifier
165412SE
Digital Object Identifier (DOI)
start page
189
end page
217
volume
261
issue
1
UN Sustainable Development Goals