Recent results on stationary critical Kirchhoff systems in closed manifolds
Emmanuel Hebey, Pierre-Damien Thizy (2013-2014)
Séminaire Laurent Schwartz — EDP et applications
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We report on results we recently obtained in Hebey and Thizy [11, 12] for critical stationary Kirchhoff systems in closed manifolds. Let be a closed -manifold, . The critical Kirchhoff systems we consider are written as for all , where is the Laplace-Beltrami operator, is a -map from into the space of symmetric matrices with real entries, the ’s are the components of , , is the Euclidean norm of , is the critical Sobolev exponent, and...