Showing items with similar title or keywords.

• Sharp capacity estimates for annuli in weighted R^n and in metric spaces 

  Björn, Anders; Björn, Jana; Lehrbäck, Juha (Springer Berlin Heidelberg, 2017)

  We obtain estimates for the nonlinear variational capacity of annuli in weighted Rn and in metric spaces. We introduce four different (pointwise) exponent sets, show that they all play fundamental roles for capacity ...

• Notions of Dirichlet problem for functions of least gradient in metric measure spaces 

  Korte, Riikka; Lahti, Panu; Li, Xining; Shanmugalingam, Nageswari (European Mathematical Society Publishing House, 2019)

  We study two notions of Dirichlet problem associated with BV energy minimizers (also called functions of least gradient) in bounded domains in metric measure spaces whose measure is doubling and supports a (1, 1)-Poincaré ...

• Quasiadditivity of Variational Capacity 

  Lehrbäck, Juha; Shanmugalingam, Nageswari (Springer Netherlands, 2014)

  We study the quasiadditivity property (a version of superadditivity with a multiplicative constant) of variational capacity in metric spaces with respect to Whitney type covers. We characterize this property in terms of a ...

• On a class of singular measures satisfying a strong annular decay condition 

  Arroyo, Ángel; Llorente, José G. (American Mathematical Society, 2019)

  A metric measure space (X, d, t) is said to satisfy the strong annular decay condition if there is a constant C > 0 such that for each x E X and all 0 < r < R. If do., is the distance induced by the co -norm in RN, we ...

• Slopes of Kantorovich potentials and existence of optimal transport maps in metric measure spaces 

  Ambrosio, Luigi; Rajala, Tapio (Springer, 2014)

  We study optimal transportation with the quadratic cost function in geodesic metric spaces satisfying suitable non-branching assumptions. We introduce and study the notions of slope along curves and along geodesics and we ...