On perturbations of the fractional Yamabe problem
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Publication:522459
DOI10.1007/s00526-016-1095-3zbMath1371.35321arXiv1501.00641OpenAlexW2963990699MaRDI QIDQ522459
Publication date: 13 April 2017
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1501.00641
Critical exponents in context of PDEs (35B33) Elliptic equations on manifolds, general theory (58J05) Blow-up in context of PDEs (35B44) Fractional partial differential equations (35R11) PDEs on manifolds (35R01)
Related Items (13)
Soliton to the fractional Yamabe flow ⋮ Bubble-tower solutions to asymptotically critical nonlocal elliptic equations on conformal infinities ⋮ Existence theorems of the fractional Yamabe problem ⋮ A non-compactness result on the fractional Yamabe problem in large dimensions ⋮ Clustered solutions for supercritical elliptic equations on Riemannian manifolds ⋮ Clustered solutions to low-order perturbations of fractional Yamabe equations ⋮ Spike solutions for a fractional elliptic equation in a compact Riemannian manifold ⋮ Spiked solutions for fractional Schrödinger systems with Sobolev critical Exponent ⋮ Classification of finite energy solutions to the fractional Lane-Emden-Fowler equations with slightly subcritical exponents ⋮ On local behavior of singular positive solutions to nonlocal elliptic equations ⋮ Conformal metrics with prescribed fractional scalar curvature on conformal infinities with positive fractional Yamabe constants ⋮ A compactness theorem for the fractional Yamabe problem. I: The nonumbilic conformal infinity ⋮ Infinitely many sign-changing solutions of a critical fractional equation
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