Blow-up phenomena for linearly perturbed Yamabe problem on manifolds with umbilic boundary

DOI10.1016/j.jde.2019.01.023zbMath1416.35113arXiv1804.05559OpenAlexW2964192997MaRDI QIDQ1737550

Marco Ghimenti, Angela Pistoia, Anna Maria Micheletti

Publication date: 23 April 2019

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.05559

zbMATH Keywords

Yamabe problemWeyl tensorlinear perturbationbubbling phenomenamanifold with umbilic boundary

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Semilinear elliptic equations (35J61)

Related Items (9)

Blowing up solutions for supercritical Yamabe problems on manifolds with non-umbilic boundary ⋮ Non-degeneracy of critical points of the squared norm of the second fundamental form on manifolds with minimal boundary ⋮ Compactness and blow up results for doubly perturbed Yamabe problems on manifolds with umbilic boundary ⋮ Compactness for conformal scalar-flat metrics on umbilic boundary manifolds ⋮ Perturbative techniques in conformal geometry ⋮ Compactness of scalar-flat conformal metrics on low-dimensional manifolds with constant mean curvature on boundary ⋮ A compactness result for scalar-flat metrics on low dimensional manifolds with umbilic boundary ⋮ Compactness results for linearly perturbed Yamabe problem on manifolds with boundary ⋮ Blowing-up solutions for supercritical Yamabe problems on manifolds with umbilic boundary

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