Nonlinear biharmonic equations with negative exponents |
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| Authors: | YS Choi Xingwang Xu |
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| Institution: | 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 |
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| 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. |
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| Keywords: | primary 35J60 58G35 secondary 53C21 |
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