Regularity of Solutions to an Integral Equation on a Half-Space R+n ()
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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]).
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