Existence and concentration of positive solutions for a super-critical fourth order equation |
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| Authors: | Ali Maalaoui Vittorio Martino |
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| Affiliation: | 1. Department of Mathematics, Rutgers University - Hill Center for the Mathematical Sciences 110 Frelinghuysen Rd., Piscataway 08854-8019 NJ, USA;2. SISSA, International School for Advanced Studies, via Bonomea, 265 - 34136 Trieste, Italy |
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| Abstract: | In this paper we investigate the problem of existence of solutions for a super-critical fourth order Yamabe type equation and we exhibit a family of solutions concentrating at two points, provided the domain contains one hole and we give a multiplicity result if we are given multiple holes. |
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| Keywords: | Bi-Laplacian Yamabe type equation Finite dimensional reduction |
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