# Blow-up examples for the Yamabe problem

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Let (M, g) be a m-dimensional complete Riemannian manifold with a pole, and (N, h) a Riemannian manifold. Let F : â„+ â†’ â„+ be a strictly increasing CÂ² function such that F(0) = 0 and dF := sup(tF' (t)(F(t))-1) < âˆž. We show that if dF < m/2, then every F-harmonic map u :...

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In this work a local inequality is provided which bounds the distance of an integral varifold from a multivalued plane (height) by its tilt and mean curvature. The bounds obtained for the exponents of the Lebesgue spaces involved are shown to be sharp.

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Studies the nonhomogeneous three-dimensional Riemannian manifolds with constant principal Ricci curvatures. Basic differential equations; Curvature invariants and homogeneity; Nonhomogeneous solutions.