Concentration of solutions for a Paneitz type problem

Shuangjie Peng; Jing Zhou

doi:10.3934/dcds.2010.26.1055

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2010, Volume 26, Issue 3: 1055-1072. Doi: 10.3934/dcds.2010.26.1055

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Concentration of solutions for a Paneitz type problem

Shuangjie Peng^1, and
Jing Zhou^2,

1.
School of Mathematics and Statistics, Central China Normal University, Wuhan, 430079
2.
School of Mathematics and Statistics, South-Central University For Nationalities, Wuhan, 430074

Received: December 31, 2008

Revised: September 30, 2009

Published: August 2010

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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.

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Mathematics Subject Classification: Primary: 35J20, 35B25; Secondary: 35B40.

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