典型文献
Pointwise A Priori Estimates for Solutions to Some p-Laplacian Equations
文献摘要：
In this article, we apply blow-up analysis to study pointwise a priori estimates for some p-Laplacian equations based on Liouville type theorems. With newly developed analysis techniques, we first extend the classical results of interior gradient estimates for the harmonic function to that for the p-harmonic function, i.e., the solution of Δp u=0, x∈Ω . We then obtain singularity and decay estimates of the sign-changing solution of Lane–Emden–Fowler type p-Laplacian equation ?Δpu =|u|λ ?1u, x ∈ Ω , which are then extended to the equation with general right hand term f(x,u) with certain asymptotic properties. In addition, pointwise estimates for higher order derivatives of the solution to Lane–Emden type p-Laplacian equation, in a case of p=2, are also discussed.
文献关键词：
中图分类号：
作者姓名：
Xiao Qiang SUN;Ji Guang BAO
作者机构：
School of Mathematics, Sun Yat-sen University, Guangzhou 510275, P. R. China;School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing 100875, P. R. China
文献出处：
引用格式：
[1]Xiao Qiang SUN;Ji Guang BAO-.Pointwise A Priori Estimates for Solutions to Some p-Laplacian Equations)[J].数学学报（英文版）,2022(12):2150-2162
A类：
Priori
B类：
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AB值：
0.63143
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