Nonlinear biharmonic equations with negative exponents |
| |
Authors: | Y.S. Choi Xingwang Xu |
| |
Affiliation: | a Department of Mathematics, University of Connecticut, Storrs, CT 06269-3009, USA b Department of Mathematics, National University of Singapore, 2 Science Drive 2, Singapore 117543 |
| |
Abstract: | In this paper, we study global positive C4 solutions of the geometrically interesting equation: Δ2u+u−q=0 with q>0 in R3. We will establish several existence and non-existence theorems, including the classification result for q=7 with exactly linear growth condition. |
| |
Keywords: | primary, 35J60, 58G35 secondary, 53C21 |
本文献已被 ScienceDirect 等数据库收录! |
|