On perturbations of the fractional Yamabe problem
Copyright policy )On perturbations of the fractional Yamabe problem
The fractional Yamabe problem, proposed by Gonz��lez-Qing (2013, Anal. PDE) is a geometric question which concerns the existence of metrics with constant fractional scalar curvature. It extends the phenomena which were discovered in the classical Yamabe problem and the boundary Yamabe problem to the realm of nonlocal conformally invariant operators. We investigate a non-compactness property of the fractional Yamabe problem by constructing bubbling solutions to its small perturbations.
39 pages. Introduction is revised and some small errors are fixed
- Korea Institute for Advanced Study Korea (Republic of)
Mathematics - Differential Geometry, bubbling, Elliptic equations on manifolds, general theory, fractional Yamabe problem, Fractional partial differential equations, Critical exponents in context of PDEs, Blow-up in context of PDEs, Mathematics - Analysis of PDEs, PDEs on manifolds, Differential Geometry (math.DG), FOS: Mathematics, scalar curvature, Analysis of PDEs (math.AP)
Mathematics - Differential Geometry, bubbling, Elliptic equations on manifolds, general theory, fractional Yamabe problem, Fractional partial differential equations, Critical exponents in context of PDEs, Blow-up in context of PDEs, Mathematics - Analysis of PDEs, PDEs on manifolds, Differential Geometry (math.DG), FOS: Mathematics, scalar curvature, Analysis of PDEs (math.AP)
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