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7 Result(s)

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  1. No Access

    Article

    On a two-phase free boundary problem ruled by the infinity Laplacian

    In this paper we consider a two-phase free boundary problem ruled by the infinity Laplacian. Our main result states that bounded viscosity solutions in B1 are universally Lipschitz continuous in B1/2, which is th...

    Damião J. Araújo, Eduardo V. Teixeira, José Miguel Urbano in Israel Journal of Mathematics (2021)

  2. No Access

    Article

    Regularity for anisotropic fully nonlinear integro-differential equations

    We consider fully nonlinear integro-differential equations governed by kernels that have different homogeneities in different directions. We prove a nonlocal version of the ABP estimate, a Harnack inequality a...

    Luis A. Caffarelli, Raimundo Leitão, José Miguel Urbano in Mathematische Annalen (2014)

  3. No Access

    Article

    An intrinsic Liouville theorem for degenerate parabolic equations

    We show that weak solutions of the degenerate p−Laplace equation $$u_t - {\rm div}\left( |\nabla u|^{p-2}\nabla u \right) = 0,\quad p ...

    Eduardo V. Teixeira, José Miguel Urbano in Archiv der Mathematik (2014)

  4. No Access

    Article

    The obstacle problem for nonlinear elliptic equations with variable growth and L 1-data

    The aim of this paper is twofold: to prove, for L 1-data, the existence and uniqueness of an entropy solution to the obstacle problem for nonlinear elliptic equations with variable growth,...

    José Francisco Rodrigues, Manel Sanchón, José Miguel Urbano in Monatshefte für Mathematik (2008)

  5. Article

    Open Access

    Harnack's Estimates: Positivity and Local Behavior of Degenerate and Singular Parabolic Equations

    Emmanuele DiBenedetto, Ugo Gianazza, Mikhail Safonov… in Boundary Value Problems (2007)

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  6. No Access

    Chapter and Conference Paper

    A Free Boundary Problem: Contributions from Modern Analysis

    We exemplify the role of Free Boundary Problems as an important source of ideas in modern analysis. With the help of a model problem we illustrate the use of analytical, algebraic and geometrical techniques ob...

    José Miguel Urbano in European Congress of Mathematics (2001)

  7. Article

    Continuous solutions for a degenerate free boundary problem

    We prove existence of continuous solutions for $$\partial _t [\gamma \left( \theta \right)] - div(\left| {\nabla \theta } \right|^{p ...

    José Miguel Urbano in Annali di Matematica Pura ed Applicata (2000)

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