Year: 2019
Analysis in Theory and Applications, Vol. 35 (2019), Iss. 2 : pp. 117–143
Abstract
We review some recent results in the literature concerning existence of conformal metrics with constant $Q$-curvature. The problem is rather similar to the classical Yamabe problem: however it is characterized by a fourth-order operator that might lack in general a maximum principle. For several years existence of geometrically admissible solutions was known only in particular cases. Recently, there has been instead progress in this direction for some general classes of conformal metrics.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.OA-0012
Analysis in Theory and Applications, Vol. 35 (2019), Iss. 2 : pp. 117–143
Published online: 2019-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 27
Keywords: Geometric PDEs variational methods min-max schemes.
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