Bubbling solutions for supercritical problems on manifolds
Author
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Dávila, Juan
Author
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Pistoia, Angela
Author
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Vaira, Giusi
Admission date
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2015-08-12T14:56:32Z
Available date
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2015-08-12T14:56:32Z
Publication date
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2015
Cita de ítem
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J. Math. Pures Appl. 103(2015)1410–1440
en_US
Identifier
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DOI:10.1016/j.matpur.2014.11.004
Identifier
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https://repositorio.uchile.cl/handle/2250/132628
General note
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Artículo de publicación ISI
en_US
Abstract
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Let (M, g) be an n-dimensional compact Riemannian manifold without boundary and Gamma be a non-degenerate closed geodesic of (M, g). We prove that the supercritical problem
-Delta(g)u + hu = u(n+1/n+3) (+/-) (epsilon), u > 0, in (M, g)
has a solution that concentrates along Gamma as e goes to zero, provided the function h and the sectional curvatures along Gamma satisfy a suitable condition. A connection with the solution of a class of periodic Ordinary Differential Equations with singularity of attractive or repulsive type is established.