Linear perturbation of the Yamabe problem on manifolds with boundary

DOI10.1007/s12220-017-9864-6zbMath1398.35053arXiv1611.01336OpenAlexW2550296734MaRDI QIDQ1651371

Angela Pistoia, Anna Maria Micheletti, Marco Ghimenti

Publication date: 12 July 2018

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.01336

zbMATH Keywords

manifold with boundaryYamabe problemlinear perturbationbubbling phenomena

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Elliptic equations on manifolds, general theory (58J05) Blow-up in context of PDEs (35B44)

Related Items (10)

Compactness and blow up results for doubly perturbed Yamabe problems on manifolds with non umbilic boundary ⋮ Blowing up solutions for supercritical Yamabe problems on manifolds with non-umbilic boundary ⋮ Bubble-tower solutions to asymptotically critical nonlocal elliptic equations on conformal infinities ⋮ Compactness for a class of Yamabe-type problems on manifolds with boundary ⋮ Non-degeneracy of critical points of the squared norm of the second fundamental form on manifolds with minimal boundary ⋮ Compactness for conformal scalar-flat metrics on umbilic boundary manifolds ⋮ Blow-up phenomena for linearly perturbed Yamabe problem on manifolds with umbilic boundary ⋮ 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

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