Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/131457
Title: On conformally invariant equation (-Δ)pu -K(x) uN+2p/N-2p = 0 and Its Generalizations
Authors: Lu, G.
Wei, J.
Xu, X. 
Issue Date: 2001
Source: Lu, G., Wei, J., Xu, X. (2001). On conformally invariant equation (-Δ)pu -K(x) uN+2p/N-2p = 0 and Its Generalizations. Annali di Matematica Pura ed Applicata 179 (1) : 309-329. ScholarBank@NUS Repository.
Abstract: We consider the question of existence and non-existence of positive entire solutions for conformally invariant equations involving polybarmonic operator. We obtain existence of infinitely many positive solutions if the potential decays sufficiently fast at infinity and the nonexistence of positive solutions if the potential grows too fast at infinity. We also establish a Kazdan-Warner type condition for non-existence of solutions decaying at infinity.
Source Title: Annali di Matematica Pura ed Applicata
URI: http://scholarbank.nus.edu.sg/handle/10635/131457
ISSN: 03733114
Appears in Collections:Staff Publications

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