Multibubble analysis on N-Laplace equation in R-N

作者：Adimurthi; Yang, Yunyan^*

来源：Calculus of Variations and Partial Differential Equations, 2011, 40(1-2): 1-14.

DOI：10.1007/s00526-010-0330-6

• ELLIPTIC-EQUATIONS
• EXPONENTIAL-GROWTH
• SHARP FORM
• TRUDINGER
• INEQUALITY
• DIMENSION

In this note, we describe the asymptotic behavior of sequences of solutions to N-Laplace equations with critical exponential growth in smooth bounded domain in R-N. Precisely we prove multibubble phenomena and obtain an energy inequality for those concentrating solutions. In fact we partly extend the corresponding two-dimensional results of Adimurthi and Struwe (J Funct Anal 175:125-167, 2000) and Druet (Duke Math J 132:217-269, 2006) to high dimensional case.

• 出版日期2011-1
• 单位中国人民大学