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Träfflista för sökning "L773:1873 1449 srt2:(2006-2009)"

Sökning: L773:1873 1449 > (2006-2009)

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1.
  • Benedicks, Michael, et al. (författare)
  • Random perturbations and statistical properties of Henon-like maps
  • 2006
  • Ingår i: Annales de l'Institut Henri Poincare. Analyse non linéar. - 0294-1449 .- 1873-1430. ; 23:5, s. 713-752
  • Tidskriftsartikel (refereegranskat)abstract
    • For a large class of non-uniformly hyperbolic diffeomorphisms, we prove stochastic stability under small random noise: the unique stationary probability measure of the Markov chain converges to the Sinai-Ruelle-Bowen measure of the unperturbed attractor when the noise level tends to zero.
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2.
  • Lindgren, Erik, et al. (författare)
  • On the two-phase membrane problem with coefficients below the Lipschitz threshold
  • 2009
  • Ingår i: Annales de l'Institut Henri Poincare. Analyse non linéar. - 0294-1449 .- 1873-1430. ; 26:6, s. 2359-2372
  • Tidskriftsartikel (refereegranskat)abstract
    • We study the regularity of the two-phase membrane problem, with coefficients below the Lipschitz threshold. For the Lipschitz coefficient case one can apply a monotonicity formula to prove the C-1,C-1-regularity of the solution and that the free boundary is, near the so-called branching points, the union of two C-1-graphs. In our case, the same monotonicity formula does not apply in the same way. In the absence of a monotonicity formula, we use a specific scaling argument combined with the classification of certain global solutions to obtain C-1,C-1-estimates. Then we exploit some stability properties with respect to the coefficients to prove that the free boundary is the union of two Reifenberg vanishing sets near so-called branching points.
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3.
  • Pinchover, Yehuda, et al. (författare)
  • A Liouville-type theorem for the p-Laplacian with potential term
  • 2008
  • Ingår i: Annales de l'Institut Henri Poincare. Analyse non linéar. - 0294-1449 .- 1873-1430. ; 25:2, s. 357-368
  • Tidskriftsartikel (refereegranskat)abstract
    • In this paper we prove a sufficient condition, in terms of the behavior of a ground state of a singular p-Laplacian problem with a potential term, such that a nonzero subsolution of another such problem is also a ground state. Unlike in the linear case (p = 2), this condition involves comparison of both the functions and of their gradients.
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