Displaying similar documents to “New Calderón-Zygmund decomposition for Sobolev functions”

The Ruelle rotation of Killing vector fields

Konstantin Athanassopoulos (2009)

Colloquium Mathematicae

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We present an explicit formula for the Ruelle rotation of a nonsingular Killing vector field of a closed, oriented, Riemannian 3-manifold, with respect to Riemannian volume.

Nonlinear elliptic equations involving critical Sobolev exponent on compact Riemannian manifolds in presence of symmetries.

Zindine Djadli (1999)

Revista Matemática Complutense

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In this paper, we study a nonlinear elliptic equation with critical exponent, invariant under the action of a subgroup G of the isometry group of a compact Riemannian manifold. We obtain some existence results of positive solutions of this equation, and under some assumptions on G, we show that we can solve this equation for supercritical exponents.