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Nonexistence of multi-bubble solutions to some elliptic equations on convex domains |
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| Authors: | Massimo Grossi Futoshi Takahashi |
| Affiliation: | a Dipartimento di Matematica, Università di Roma “La Sapienza”, P.le A. Moro 2, 00185 Roma, Italy b Department of Mathematics, Osaka City University, Sumiyoshi-ku, Osaka, 558-8585, Japan |
| Abstract: | We prove the nonexistence of multi-bubble solutions for several types of problems on smooth bounded convex domains. Problems we study include the Liouville equation |
| Keywords: | Blowing-up solution Liouville equation Critical Sobolev exponent |
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