Radial Symmetry and Monotonicity Results for an Integral Equation
Li Ma, DeZhong Chen
Abstract
In this paper, we consider radial symmetry property of positive solutions of an integral equation arising from some higher order semi-linear elliptic equations on the whole space Rn. We do not use the usual way to get symmetric result by using moving plane method. The nice thing in our argument is that we only need a Hardy-Littlewood-Sobolev type inequality. Our main result is Theorem 1 below.
Create a lesson
Related papers
Non-centered maximal operators over q balls for exponential and Laguerre-type measures
The Anh Bui, Fu Ken Ly
Weighted Fractional Commutator Estimate and Application to the Fractional Wave Equations with Time-dependent Damping
Jiayun Lin, Masahiro Ikeda
The Characteristic Initial Value Problem for the 3D Compressible Euler Equations
Jared Speck, Sifan Yu
A transition calculus for 0-pseudodifferential operators with applications to gas giant geometry
Andy Yin
Maps from the Dbar-data to the derivative NLS potentials
Junyi Zhu, Xueru Wang, Huan Liu
An L5/6 bound for the periodic Kuramoto-Sivashinsky equation
Benjamin Ingimarson, Igor Kukavica, Qi Xu