Concentration of solutions for a Paneitz type problem

Pages: 1055 - 1072, Volume 26, Issue 3, March 2010

doi:10.3934/dcds.2010.26.1055       Abstract        Full Text (216.3K)       Related Articles

Shuangjie Peng - School of Mathematics and Statistics, Central China Normal University, Wuhan, 430079, China (email)
Jing Zhou - School of Mathematics and Statistics, South-Central University For Nationalities, Wuhan, 430074, China (email)

Abstract: By variational methods, we construct infinitely many concentration solutions for a type of Paneitz problem under the condition that the Paneitz curvature has a sequence of strictly local maximum points moving to infinity.

Keywords:  Paneitz type problem, variational method, critical point, concentrating solutions.
Mathematics Subject Classification:  Primary: 35J20, 35B25; Secondary: 35B40.

Received: January 2009;      Revised: October 2009;      Published: December 2009.