Existence of nontrivial positive solutions to a semilinear elliptic system with variable coefficients

被引：0

作者：

Sun, Dawei ^{[1
]}

Liu, Jiarui ^{[1
]}

机构：

[1] Henan Univ Technol, Zhengzhou 450001, Peoples R China

来源：

MECHANICAL ENGINEERING AND GREEN MANUFACTURING II, PTS 1 AND 2 | 2012年 / 155-156卷

关键词：

semilinear elliptic system; nontrivial positive solutions; linking theorem;

D O I：

10.4028/www.scientific.net/AMM.155-156.678

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

This paper studies the nontrivial positive solutions to a semilinear elliptic system with variable coefficients in the n dimensional Euclide space. By constructing a new variational space and using some linking theorems, this paper finally proves the existence of positive solution to a semilinear elliptic system.

引用

页码：678 / 681

页数：4

共 7 条

[1] Ambrosetti A., 1973, Journal of Functional Analysis, V14, P349, DOI 10.1016/0022-1236(73)90051-7
[2] Gongbao L., 2004, COMM PARTIAL DIFFER, V29, P925
[3] Gongbao L., 2010, ACTA MATH SCI B, V30, P1917
[4] Infinitely many sign-changing solutions for a Schrodinger equation in RN
Hong, Mingli
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 354 (02) : 459 - 468
[5] DIFFERENTIAL-SYSTEMS WITH STRONGLY INDEFINITE VARIATIONAL STRUCTURE
HULSHOF, J
VANDERVORST, R
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 1993, 114 (01) : 32 - 58
[6] LIONS PL, 1984, ANN I H POINCARE-AN, V1, P223
[7] Willem M., 1997, Minimax theorems

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