X. Han and G. Lu, “Regularity of Solutions to an Integral Equation Associated with Bessel Potential,” Communications on Pure and Applied Analysis, Vol. 10, No. 4, 2011, pp. 1111-1119.
has been cited by the following article:
TITLE: Regularity of Solutions to an Integral Equation on a Half-Space R+n
AUTHORS: Linfen Cao, Zhaohui Dai
KEYWORDS: Regularity Lifting; HLS Inequality; Contracting Operators; Shrinking Operators
JOURNAL NAME: Advances in Pure Mathematics, Vol.3 No.1A, January 30, 2013
ABSTRACT: In this paper, we discuss the integral equation on a half space R+n where is the reflection of the point x about the . We study the regularity for the positive solutions of (0.1). A regularity lifting method by contracting operators is used in proving the boundedness of solutions, and the Lipschitz continuity is derived by combinations of contracting and shrinking operators introduced by Ma-Chen-Li ([1]).