Bubble-tower solutions to asymptotically critical nonlocal elliptic equations on conformal infinities

DOI10.1016/j.jde.2018.06.029zbMath1395.35191OpenAlexW2811115461MaRDI QIDQ1669804

Seunghyeok Kim, Wenjing Chen

Publication date: 4 September 2018

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

Full work available at URL: https://doi.org/10.1016/j.jde.2018.06.029

zbMATH Keywords

bubble-tower solutionsfractional Yamabe-type equations

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Elliptic equations on manifolds, general theory (58J05) Blow-up in context of PDEs (35B44) Positive solutions to PDEs (35B09) Fractional partial differential equations (35R11)

Cites Work

• On Yamabe-type problems on Riemannian manifolds with boundary
• Sign-changing bubble towers for asymptotically critical elliptic equations on Riemannian manifolds
• Sign-changing solutions to elliptic second order equations: glueing a peak to a degenerate critical manifold
• On perturbations of the fractional Yamabe problem
• Multipeak solutions for asymptotically critical elliptic equations on Riemannian manifolds
• Fractional Laplacian in conformal geometry
• A compactness theorem for the Yamabe problem
• Sign changing bubble tower solutions in a slightly subcritical semilinear Dirichlet problem
• Conformal deformation of a Riemannian metric to a scalar flat metric with constant mean curvature on the boundary
• Scattering matrix in conformal geometry
• Linear perturbation of the Yamabe problem on manifolds with boundary
• Clustered solutions to low-order perturbations of fractional Yamabe equations
• Further results on the fractional Yamabe problem: the umbilic case
• Positive clusters for smooth perturbations of a critical elliptic equation in dimensions four and five
• Towering phenomena for the Yamabe equation on symmetric manifolds
• Conformal metrics with prescribed fractional scalar curvature on conformal infinities with positive fractional Yamabe constants
• Linear perturbations of the fractional Yamabe problem on the minimal conformal infinity
• Blowing-up solutions for the Yamabe equation
• Existence theorems of the fractional Yamabe problem
• The effect of linear perturbations on the Yamabe problem
• Fractional conformal Laplacians and fractional Yamabe problems
• Examples of non-isolated blow-up for perturbations of the scalar curvature equation on non-locally conformally flat manifolds
• Tower of bubbles for almost critical problems in general domains
• Nondegeneracy of the bubble in the critical case for nonlocal equations
• Sign-Changing Blow-Up for Scalar Curvature Type Equations
• Blow-up solutions for asymptotically critical elliptic equations on Riemannian manifolds
• An Extension Problem Related to the Fractional Laplacian

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