Some qualitative questions on the equation - div(a(x, u, delu)) = f(x, u)

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:446

Article

Dwivedi, Gaurav¹  Tyagi, Jagmohan¹ 

[1] Indian Inst Technol Gandhinagar, Gandhinagar 382355, Gujarat, India

关键词: Picone's identity;    Sturmian comparison theorem;    Monotonicity of the first eigenvalue;    Hardy inequality;   

DOI  :  10.1016/j.jmaa.2016.08.048

来源: Elsevier

【 摘 要 】

In this article, we establish several applications of Picone's identity for the operator of the form -div(a(x, u, del u)), such as Hardy type inequality, Sturmian comparison theorem, monotonicity property of the first eigenvalue, nonexistence of positive supersolutions and Caccioppoli inequality under certain conditions on a. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free