On semilinear elliptic equations involving concave-convex nonlinearities and sign-changing weight function

被引：183

作者：

Wu, TF ^{[1
]}

机构：

[1] So Taiwan Univ Technol, Ctr Gen Educ, Tainan 71005, Taiwan

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2006年 / 318卷 / 01期

关键词：

semilinear elliptic equations; Nehari manifold; concave-convex nonlinearities;

D O I：

10.1016/j.jmaa.2005.05.057

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the combined effect of concave and convex nonlinearities on the number of positive solutions for semilinear elliptic equations with a sign-changing weight function. With the help of the Nehari manifold, we prove that there are at least two positive solutions for Eq. (E-lambda,E-f) in bounded domains. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：253 / 270

页数：18

共 16 条

[1]

Adimurthy, 1997, DIFFER INTEGRAL EQU, V10, P1157

[2] COMBINED EFFECTS OF CONCAVE AND CONVEX NONLINEARITIES IN SOME ELLIPTIC PROBLEMS [J].

AMBROSETTI, A ;

BREZIS, H ;

CERAMI, G .

JOURNAL OF FUNCTIONAL ANALYSIS, 1994, 122 (02) :519-543

[3] TOPOLOGICAL RESULTS ON A CERTAIN CLASS OF FUNCTIONALS AND APPLICATION [J].

BAHRI, A .

JOURNAL OF FUNCTIONAL ANALYSIS, 1981, 41 (03) :397-427

[4] A PERTURBATION METHOD IN CRITICAL-POINT THEORY AND APPLICATIONS [J].

BAHRI, A ;

BERESTYCKI, H .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1981, 267 (01) :1-32

[5]

Cao DM, 1996, P ROY SOC EDINB A, V126, P443

[6]

CIRSTEA FS, 2000, TOPOL METHOD NONL AN, V15, P285

[7] Qualitative properties of positive solutions of semilinear elliptic equations in symmetric domains via the maximum principle [J].

Damascelli, L ;

Grossi, M ;

Pacella, F .

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 1999, 16 (05) :631-652

[8]

DRABEK P, 1997, DE GRUYTER SER NONLI, V5

[9] VARIATIONAL PRINCIPLE [J].

EKELAND, I .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1974, 47 (02) :324-353

[10]

GHERGU M, IN PRESS ANN MAT PUR

← 1 2 →