Nonexistence of positive solution for an integral equation on a Half-Space R+n

Authors

Yanqin Fang, University of WollongongFollow
Jihui Zhang, Nanjing Normal University

RIS ID

112128

Publication Details

Fang, Y. & Zhang, J. (2013). Nonexistence of positive solution for an integral equation on a Half-Space R+n. Communications on Pure and Applied Analysis, 12 (2), 663-678.

Abstract

Let n,m be a positive integer and let R+n be the n-dimensional upper half Euclidean space. In this paper, we study the following integral equation (equation required) where (equation required) Cn is a positive constant, 0 < 2m < n, and p > 1. Using the method of moving planes in integral forms, we show that equation (1) has no positive solution.