AN EXISTENCE RESULT OF ONE NONTRIVIAL SOLUTION FOR TWO POINT BOUNDARY VALUE PROBLEMS

被引：21

作者：

Bonanno, Gabriele ^{[1
]}

Sciammetta, Angela ^{[2
]}

机构：

[1] Univ Messina, Dept Sci Engn & Architecture, Math Sect, Fac Engn, I-98166 Messina, Italy

[2] Univ Messina, Dept Math, I-98166 Messina, Italy

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2011年 / 84卷 / 02期

关键词：

boundary value problem; positive solutions; ELLIPTIC PROBLEMS; DIFFERENTIAL-EQUATIONS; NONLINEARITIES;

D O I：

10.1017/S0004972711002255

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Existence results of positive solutions for a two point boundary value problem are established. No asymptotic condition on the nonlinear term either at zero or at infinity is required. A classical result of Erbe and Wang is improved. The approach is based on variational methods.

引用

页码：288 / 299

页数：12

共 15 条

[1]

AGARWAL PR, 1999, POSITIVE SOLUTIONS D

[2]

[Anonymous], 1996, VARIATIONAL METHODS, DOI DOI 10.1007/978-3-662-03212-1

[3]

[Anonymous], ELECT J DIFF EQUATIO

[4]

Averna D., 2003, Topol. Meth. Nonl. Anal., V22, P93

[5]

Bereanu C, 2008, J FIX POINT THEORY A, V4, P57, DOI 10.1007/s11784-008-0072-7

[6]

Bonanno G., CRITICAL POINT THEOR

[7] Non-differentiable functionals and applications to elliptic problems with discontinuous nonlinearities [J].

Bonanno, Gabriele ;

Candito, Pasquale .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2008, 244 (12) :3031-3059

[8]

CAPIETTO A, 1994, PITMAN RES, V302, P55

[9] Boundary value problems with sublinear conditions near zero [J].

Capietto, Anna ;

Dambrosio, Walter .

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 1999, 6 (02) :149-172

[10] Combined effects of asymptotically linear and singular nonlinearities in bifurcation problems of Lane-Emden-Fowler type [J].

Cîrstea, F ;

Ghergu, M ;

Radulescu, V .

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2005, 84 (04) :493-508

← 1 2 →