Abstract
We study homogeneous linear elliptic partial differential equations of even order. Several maximum principle results are deduced for such equations as well as a priori bounds for certain boundary value problems.
Highlights
The P -function technique for obtaining subharmonic functions defined on the solution of certain partial differential equations of order ≥ 4 is well established
In 1 Miranda shows that the functional P u,iu,i − uΔu is subharmonic where u is a solution to the biharmonic equation Δ2u 0
In 5, 6, P -functions containing the squares of terms of the form Δiu are used to obtain a priori that bounds for solutions to the constant coefficient mmetaharmonic equation
Summary
Received 27 November 2011; Accepted 29 December 2011 Academic Editor: E. We study homogeneous linear elliptic partial differential equations of even order. Several maximum principle results are deduced for such equations as well as a priori bounds for certain boundary value problems
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
