UNIFORM A PRIORI ESTIMATES FOR POSITIVE SOLUTIONS OF HIGHER ORDER LANE-EMDEN EQUATIONS IN Rn

被引：6

作者：

Dai, Wei ^{[1
,2
]}

Duyckaerts, Thomas ^{[2
,3
]}

机构：

[1] Beihang Univ BUAA, Sch Math Sci, Beijing 100083, Peoples R China

[2] Univ Sorbonne Paris Nord, Inst Galilee, UMR 7539, LAGA, F-93430 Villetaneuse, France

[3] Inst Univ France, Paris, France

来源：

PUBLICACIONS MATEMATIQUES | 2021年 / 65卷 / 01期

关键词：

uniform a priori estimates; higher order Lane-Emden equations; Navier problems; positive solutions; blow up; CRITICAL DIMENSIONS; ELLIPTIC-EQUATIONS; CRITICAL EXPONENTS;

D O I：

10.5565/PUBLMAT6512111

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study the existence of uniform a priori estimates for positive solutions to Navier problems of higher order Lane-Emden equations (0.1) (-Delta)(m) u(x) - u(p)(x), x is an element of Omega, for all large exponents p, where Omega subset of R-n is a star-shaped or strictly convex bounded domain with C2m-2 boundary, n >= 4, and 2 <= m <= n/2. Our results extend those of previous authors for second order m = 1 to general higher order cases m >= 2.

引用

页码：319 / 333

页数：15

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