Local Fatou theorem and the density of energy on manifolds of negative curvature.
F. Mouton (2007)
Revista Matemática Iberoamericana
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F. Mouton (2007)
Revista Matemática Iberoamericana
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S. Izumiya, F. Tari (2008)
Revista Matemática Iberoamericana
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Verónica Felli (2005)
Revista Matemática Iberoamericana
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We study the problem of existence of surfaces in R3 parametrized on the sphere S2 with prescribed mean curvature H in the perturbative case, i.e. for H = Ho + EH1, where Ho is a nonzero constant, H1 is a C2 function and E is a small perturbation parameter.
Paolo Caldiroli, Roberta Musina (2004)
Revista Matemática Iberoamericana
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Given a C1 function H: R3 --> R, we look for H-bubbles, i.e., surfaces in R3 parametrized by the sphere S2 with mean curvature H at every regular point..
Lihe Wang (2002)
Revista Matemática Iberoamericana
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I. Gentil, A. Guillin, L. Miclo (2007)
Revista Matemática Iberoamericana
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Rémi Carles, Jeffrey Rauch (2004)
Revista Matemática Iberoamericana
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We study spherical pulse like families of solutions to semilinear wave equattions in space time of dimension 1+3 as the pulses focus at a point and emerge outgoing. We emphasize the scales for which the incoming and outgoing waves behave linearly but the nonlinearity has a strong effect at the focus. The focus crossing is described by a scattering operator for the semilinear equation, which broadens the pulses. The relative errors in our approximate solutions are small in the L norm. ...
J. M. Arrieta, Á. Jiménez-Casas, A. Rodríguez-Bernal (2008)
Revista Matemática Iberoamericana
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Camil Muscalu, Jill Pipher, Terence Tao, Christoph Thiele (2006)
Revista Matemática Iberoamericana
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We prove that classical Coifman-Meyer theorem holds on any polidisc T or arbitrary dimension d ≥ 1.
Zoltán Buczolich (2005)
Revista Matemática Iberoamericana
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In this paper we give a complete answer to the famous gradient problem of C. E. Weil. On an open set G ⊂ R we construct a differentiable function f: G → R for which there exists an open set Ω ⊂ R such that ∇f(p) ∈ Ω for a p ∈ G but ∇f(q) ∉ Ω for almost every q ∈ G. This shows that the Denjoy-Clarkson property does not hold in higher dimensions.