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W. Chen and C. Li, “Methods on Nonlinear Elliptic Equations. AIMS Series on Differential Equations and Dynamical Systems,” American Institute of Mathematical Science (AIMS), Springfield, 2010.

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]).