Sturm comparison theorems for some elliptic type equations with damping and external forcing terms

Journal of inequalities and applications

Sinem ޹ 

关键词: Picone’s inequality;    half-linear equations;    elliptic equations;    Sobolev space;    oscillation criteria;    35B05;   

DOI  :  10.1186/s13660-015-0594-7

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper we establish Picone-type inequalities for a pair of a damped linear elliptic equation and a forced nonlinear elliptic equation with damped term and give some Sturm comparison theorems via the Picone-type inequality. An oscillation result is also given as an application.

【 授权许可】

CC BY