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Displaying similar documents to “Analysis of the free boundary for the p-parabolic variational problem (p ≥ 2).”

(n,2)-sets have full Hausdorff dimension.

Themis Mitsis (2004)

Revista Matemática Iberoamericana

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We prove that a set containing translates of every 2-plane must have full Hausdorff dimension.

On Falconer's distance set conjecture.

M. Burak Erdogan (2006)

Revista Matemática Iberoamericana

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In this paper, using a recent parabolic restriction estimate of Tao, we obtain improved partial results in the direction of Falconer's distance set conjecture in dimensions d ≥ 3.

A parabolic quasilinear problem for linear growth functionals.

Fuensanta Andreu, Vincent Caselles, José María Mazón (2002)

Revista Matemática Iberoamericana

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We prove existence and uniqueness of solutions for the Dirichlet problem for quasilinear parabolic equations in divergent form for which the energy functional has linear growth.

A note on lifting of Carnot groups.

Andrea Bonfiglioli, Francesco Uguzzoni (2005)

Revista Matemática Iberoamericana

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We prove that every homogeneous Carnot group can be lifted to a free homogeneous Carnot group. Though following the ideas of Rothschild and Stein, we give simple and self-contained arguments, providing a constructive proof, as shown in the examples.

Multi-parameter paraproducts.

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.