A variational approach of Sturm-Liouville problems with the nonlinearity depending on the derivative

Boundary value problems

Armin Hadjian²  Ghasem A Afrouzi³  Viceniu D Rdulescu⁴ 

[1] of the Romanian Academy, Bucharest, Romania;Department of Mathematics, Faculty of Basic Sciences, University of Bojnord, Bojnord, Iran;Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran;Institute of Mathematics ‘Simion Stoilow’

关键词: Dirichlet problem;    critical points;    variational methods;    34B15;    35B38;    58E05;   

DOI  :  10.1186/s13661-015-0342-4

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we are concerned with the existence of positive classical solutions for a class of second-order differential equations with the nonlinearity dependent on the derivative. We also provide a range of the parameter in order to obtain the existence of multiple solutions. The approach is based on variational methods. An example illustrates the abstract results of this paper.

【 授权许可】

CC BY