Sign-Changing Blow-Up for Scalar Curvature Type Equations

DOI10.1080/03605302.2012.745552zbMath1277.58010arXiv1210.2244OpenAlexW1969502973MaRDI QIDQ2855217

Jérôme Vétois, Frédéric Robert

Publication date: 24 October 2013

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.2244

zbMATH Keywords

blow-upconformal invariancenonlinear elliptic equations

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Elliptic equations on manifolds, general theory (58J05) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Variational methods for higher-order elliptic equations (35J35) Blow-up in context of PDEs (35B44)

Related Items (18)

Bubble-tower solutions to asymptotically critical nonlocal elliptic equations on conformal infinities ⋮ A note on solutions of Yamabe-type equations on products of spheres ⋮ Non-stability of Paneitz-Branson type equations in arbitrary dimensions ⋮ Compactness of sign-changing solutions to scalar curvature-type equations with bounded negative part ⋮ A new kind of blowing-up solutions for the Brezis-Nirenberg problem ⋮ Sign-changing solutions to elliptic second order equations: glueing a peak to a degenerate critical manifold ⋮ Supercritical elliptic problems on the round sphere and nodal solutions to the Yamabe problem in projective spaces ⋮ A complete scenario on nodal radial solutions to the Brezis Nirenberg problem in low dimensions ^* ⋮ Positive clusters for smooth perturbations of a critical elliptic equation in dimensions four and five ⋮ Compactness and non-compactness for Yamabe-type problems ⋮ Large conformal metrics with prescribed scalar curvature ⋮ Low energy nodal solutions to the Yamabe equation ⋮ Sign-changing blow-up for the Moser-Trudinger equation ⋮ Recent results on stationary critical Kirchhoff systems in closed manifolds ⋮ New Type of Sign-Changing Blow-up Solutions for Scalar Curvature Type Equations ⋮ Sign-changing blow-up for the Yamabe equation at the lowest energy level ⋮ Nodal Solutions of the Brezis-Nirenberg Problem in Dimension 6 ⋮ Sign-changing blowing-up solutions for supercritical Bahri-Coron's problem

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