Multiplicity of positive solutions for a class of p-Kirchhoff equation with critical exponent

被引：0
作者：
Changmu Chu
Jiaojiao Sun
机构：
[1] Guizhou Minzu University,School of Data Science and Information Engineering
来源：
Annals of Functional Analysis | 2020年 / 11卷
关键词：
-Kirchhoff equation; Critical exponent; Concentration-compactness principle; Variational method; 35R09; 35A15; 35B09;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper is devoted to study a class of p-Kirchhoff equation with critical exponent. The existence and multiplicity of positive solutions to this equation are obtained by the variational methods.
引用
收藏
页码：1126 / 1140
页数：14
相关论文
共 42 条
[1]  
Alves CO(2010)On a class of nonlocal elliptic problems with critical growth Differ. Equ. Appl. 2 409-417
[2]  
Correa FJSA(2003)Multiplicity of positive solutions to a J. Math. Anal. Appl. 279 508-521
[3]  
Figueiredo GM(1973)-Laplacian equation involving critical nonlinearity J. Funct. Anal. 14 349-381
[4]  
Alves CO(1994)Dual variational methods in critical point theory and applications Indiana Univ. Math. J. 43 941-957
[5]  
Ding YH(2012)Some results about the existence of a second positive solution in a quasilinear critical problem J. Funct. Anal. 262 2861-2902
[6]  
Ambrosetti A(2011)Infinitely many solutions for Ann. Univ. Buchar. 2 27-51
[7]  
Rabinowitz PH(2013)-Laplacian equation involving critical Sobolev growth Appl. Math. Lett. 26 754-759
[8]  
Azorero JG(2013)On the Neumann problem with a nonlinear boundary condition Bull. Malays. Math. Soc. 36 789-805
[9]  
Alonso IP(1974)Multiple solutions to the nonhomogeneous J. Math. Anal. Appl. 47 324-353
[10]  
Cao DM(2009)-Kirchhoff elliptic equation with concave–convex nonlinearities J. Funct. Anal. 3 721-752
12345