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• W2018242572 abstract "In this paper we prove that, given a compact four dimensional smooth Riemannian manifold (M, g) with smooth boundary there exists a metric in the conformal class [g] of the background metric g with constant Q-curvature, zero T -curvature and zero mean curvature under generic conformally invariant assumptions. The problem is equivalent to solving a fourth order nonlinear elliptic boundary value problem (BVP) with boundary condition given by a third-order pseudodifferential operator, and homogeneous Neumann conditions. It has a variational structure, but since the corresponding Euler-Lagrange functional is in general unbounded from above and below, we need to use min-max methods combined with a new topological argument and a compactness result for the above BVP." @default.
• W2018242572 created "2016-06-24" @default.
• W2018242572 creator A5072725502 @default.
• W2018242572 date "2008-01-01" @default.
• W2018242572 modified "2023-10-03" @default.
• W2018242572 title "Conformal metrics with constant $Q$-curvature for manifolds with boundary" @default.
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• W2018242572 doi "https://doi.org/10.4310/cag.2008.v16.n5.a6" @default.
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