Vol. 40, No. 3, 1972

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 331: 1
Vol. 330: 1  2
Vol. 329: 1  2
Vol. 328: 1  2
Vol. 327: 1  2
Vol. 326: 1  2
Vol. 325: 1  2
Vol. 324: 1  2
Online Archive
Volume:
Issue:
     
The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
Officers
 
Subscriptions
 
ISSN 1945-5844 (electronic)
ISSN 0030-8730 (print)
 
Special Issues
Author index
To appear
 
Other MSP journals
Integral inequalities of Wirtinger-type and fourth-order elliptic differential inequalities

Pui-kei Wong

Vol. 40 (1972), No. 3, 739–751
Abstract

A generalized Riccati transformation is used to transform a fourth-order elliptic differential inequality. From this an integral relation is derived which includes as special case an inequality of the Wirtinger-type. This Wirtinger inequality is then used to prove a Sturmian comparison theorem for fourth order quasilinear elliptic differential inequalities.

Mathematical Subject Classification 2000
Primary: 35B05
Milestones
Received: 28 January 1971
Revised: 1 June 1971
Published: 1 March 1972
Authors
Pui-kei Wong