Sem ilinear Equationswith CriticalExponentsonthe Heisenberg Group 被引量：1

Semilinear Equations with Critical Exponents on the Heisenberg Group

下载PDF

导出

摘要 We consider the semilinear subelliptic Laplace equation -Δ Hn u=u p+f(x,u) in Ω,u>0 in Ω,u=0 on Ω . Under suitable assumptions on f and p ,some existence and nonexistence results are obtained.

作者钮鹏程文成林等

机构地区 Department of

出处《Chinese Quarterly Journal of Mathematics》 CSCD 1998年第3期52-58, ,共7页 数学季刊（英文版）

关键词 subelliptic Laplacian EXISTENCE EXPONENT HeisenBerg群临界指标关线性方程 LAplACe方程

分类号 O175.2 [理学—基础数学]

引文网络
相关文献

参考文献2

1Xu C J，数学年刊.A，1994年，15卷，2期，185页
2Zhang W G，数学研究与评论，1990年，10卷，4期，577页

引证文献1

1朱怡颖,索洪敏.一类带有奇异项的非局部次椭圆方程正解的存在性[J].应用数学,2024,37(4):903-911.

1莫嘉琪.A class of singular perturbation solutions to semilinear equations of fourth order[J].Applied Mathematics and Mechanics(English Edition),2009,30(11):1455-1460.
2Mohammed el Mokhtar ould el Mokhtar.Five Nontrivial Solutions of p-Laplacian Problems Involving Critical Exponents and Singular Cylindrical Potential[J].Journal of Physical Science and Application,2015,5(2):163-172. 被引量：1
3孙小妹.p-LAPLACE EQUATIONS WITH MULTIPLE CRITICAL EXPONENTS AND SINGULAR CYLINDRICAL POTENTIAL[J].Acta Mathematica Scientia,2013,33(4):1099-1112. 被引量：2
4XIONG Gang,WANG Xiang-Rong.A Direct Calculation of Critical Exponents of Two-Dimensional Anisotropic Ising Model[J].Communications in Theoretical Physics,2006,45(5):932-934.
5Dong Sheng KANG.On the Weighted Elliptic Problems Involving Multi-singular Potentials and Multi-critical Exponents[J].Acta Mathematica Sinica,English Series,2009,25(3):435-444. 被引量：1
6王远弟.THE DECAY BEHAVIOR OF SOLUTIONS FOR NONLOCAL BOUNDARY PROBLEMS[J].Annals of Differential Equations,2002,18(3):298-309.
7尹景学,金春花,杨莹.CRITICAL EXPONENTS OF EVOLUTIONARY p-LAPLACIAN WITH INTERIOR AND BOUNDARY SOURCES[J].Acta Mathematica Scientia,2011,31(3):778-790. 被引量：3
8NYAMORADI Nemat.Multiplicity of positive solutions to weighted nonlinear elliptic system involving critical exponents[J].Science China Mathematics,2013,56(9):1831-1844. 被引量：3
9LI Chi.A Pohozaev Identity and Critical Exponents of Some Complex Hessian Equations[J].Journal of Partial Differential Equations,2016,29(3):175-194.
10KANG DongSheng,PENG ShuangJie.Existence and asymptotic properties of solutions to elliptic systems involving multiple critical exponents[J].Science China Mathematics,2011,54(2):243-256. 被引量：12

Chinese Quarterly Journal of Mathematics

1998年第3期

浏览历史

内容加载中请稍等...

Sem ilinear Equationswith CriticalExponentsonthe Heisenberg Group 被引量：1

参考文献2

引证文献1

相关作者

相关机构

相关主题

浏览历史