Existence of stable solutions to $-Delta^m u=e^u$ in ${mathbb R}^N$ with $m geq 3$ and $N > 2m$Report as inadecuate




Existence of stable solutions to $-Delta^m u=e^u$ in ${mathbb R}^N$ with $m geq 3$ and $N > 2m$ - Download this document for free, or read online. Document in PDF available to download.

1 ECNU - East China Normal University Shangaï 2 EDP - Equations aux dérivées partielles IECL - Institut Élie Cartan de Lorraine

Abstract : We consider the polyharmonic equation $-\Delta^m u=e^u$ in ${\mathbb R}^N$ with $m \geq 3$ and $N > 2m$. We prove the existence of many entire stable solutions. This answer some questions raised by Farina and Ferrero.





Author: Xia Huang - Dong Ye -

Source: https://hal.archives-ouvertes.fr/



DOWNLOAD PDF




Related documents