Electron. J. Diff. Equ., Vol. 2016 (2016), No. 46, pp. 1-17.

Uniform estimate and strong convergence of minimizers of a p-energy functional with penalization

Bei Wang, Yuze Cai

This article concerns the asymptotic behavior of minimizers of a p-energy functional with penalization as a parameter epsilon approaches zero. By establishing $W^{1,p}$ uniform estimates, we obtain $W^{1,p}$ convergence of the minimizer to a p-harmonic map.

Submitted January 20, 2015. Published February 10, 2016.
Math Subject Classifications: 35B25, 35J70, 49K20, 58G18.
Key Words: p-energy functional; p-energy minimizer; $W^{1,p}$ uniform estimates.

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Bei Wang
School of mathematics and information technology
Jiangsu Second Normal University
Nanjing, Jiangsu 210013, China
email: jsjywang@126.com
  Yuze Cai
Department of Basic Science
Shazhou Professional Institute of Technology
Zhangjiagang, Jiangsu 215600, China
email: caibcd@163.com

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