4,669 research outputs found

    Curvature Diffusions in General Relativity

    Full text link
    We define and study on Lorentz manifolds a family of covariant diffusions in which the quadratic variation is locally determined by the curvature. This allows the interpretation of the diffusion effect on a particle by its interaction with the ambient space-time. We will focus on the case of warped products, especially Robertson-Walker manifolds, and analyse their asymptotic behaviour in the case of Einstein-de Sitter-like manifolds.Comment: 34 page

    Harnack inequality and regularity for degenerate quasilinear elliptic equations

    Full text link
    We prove Harnack inequality and local regularity results for weak solutions of a quasilinear degenerate equation in divergence form under natural growth conditions. The degeneracy is given by a suitable power of a strong A∞A_\infty weight. Regularity results are achieved under minimal assumptions on the coefficients and, as an application, we prove C1,αC^{1,\alpha} local estimates for solutions of a degenerate equation in non divergence form
    • …
    corecore