POSITIVE SOLUTION AND GROUND STATE SOLUTION FOR A KIRCHHOFF TYPE EQUATION WITH CRITICAL GROWTH

被引：1
|
作者：
Chen, Caixia [1 ]
Qian, Aixia [2 ]
机构：
[1] Jining Univ, Math Dept, Jining 273155, Shandong, Peoples R China
[2] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China
来源：
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2022年 / 59卷 / 04期
关键词：
Kirchhoff type equation; critical nonlinearity; concentration-compactness principle; ground state solution; EXISTENCE;
D O I：
10.4134/BKMS.b210567
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we consider the following Kirchhoff type equation on the whole space {- (a + b integral( )(R3)vertical bar del u vertical bar(2) dx)Delta u = u(5) + lambda k(x)g(u), x is an element of R-3 u is an element of D-1,D-2(R-3), where lambda > 0 is a real number and k, g satisfy some conditions. We mainly investigate the existence of ground state solution via variational method and concentration-compactness principle.
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页码：961 / 977
页数：17
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