Regularity of solutions for a system of integral equations

By Wenxiong CHEN *, Congming LI #. 2004

98 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/14738ac7c9449f365c33fc88e88fd5413222fe03

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

Citations in the corpus

The best constant in a weighted Hardy-Littlewood-Sobolev inequality (2007, background): “In [3], Chen and Li also obtained the regularity of the solutions.”
Asymptotic radial symmetry and growth estimates of positive solutions to weighted Hardy–Littlewood–Sobolev system of integral equations (2012, background): “9 and the corresponding partial differential equations have been studied extensively in the last 40 years, see more details in [2,3,5–11,13–22].”
On the integral systems related to Hardy-Littlewood-Sobolev inequality (2007, methodology): “The method in [ 2 , 3], which is basically linear in”
Sharp integral inequalities for harmonic functions (2006, unknown): “These results are similar in nature to those proved in [ ChL , L]. In Section 6 we use the integral version of the method of moving planes ([GNN]), which was discovered in [CLO1], to deduce the symmetry property of the nonnegative critical functions.”
The existence of extremal functions for discrete Sobolev inequalities on lattice graphs (2021, background): “2) as follows, see [6, 7, 8, 9, 10, 11, 12] for continuous setting and [13, 29] for discrete setting.”
CLASSIFICATION OF POSITIVE SOLUTIONS FOR NONLINEAR DIFFERENTIAL AND INTEGRAL SYSTEMS WITH CRITICAL EXPONENTS (2009, background): “In [4], Chen and Li also obtained a regularity result for the solutions to (7).”
Quantitative analysis of some system of integral equations (2006, background): “They presented and proved the solutions of the system of integral Eq. (7) are radially symmetric and decreasing about some point xo .I n [ 9 ], Chen and Li studied the regularity of the solutions to this system (7) and proved u and v are bounded.”