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 ().
Cite this paper
L. Cao and Z. Dai, "Regularity of Solutions to an Integral Equation on a Half-Space R+n," Advances in Pure Mathematics, Vol. 3 No. 1, 2013, pp. 153-158. doi: 10.4236/apm.2013.31A021.
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