Buscar
Mostrando ítems 1-10 de 20
Local Bounds, Harnack's Inequality and Hölder Continuity for for divergence type elliptic equations with non-standard growth
(Unión Matemática Argentina, 2015-04)
We obtain a Harnack type inequality for solutions to elliptic equations in divergence form with non-standard p(x)-type growth. A model equation is the inhomogeneous p(x)-Laplacian. Namely, ∆p(x)u := div |∇u| p(x)−2∇u = ...
Desigualdades de Harnack elíptica y parabólica: un enfoque abstracto
(1999-08-10)
Necessary and sufficient conditions are determined in order to obtain Holder regularity for a family of functions defined in a space of homogeneous type. Such conditions are obtained from the study of the validity of the ...
A harnack inequality for fractional laplace equations with lower order terms
(SOUTHWEST MISSOURI STATE UNIVERSITY, 2011)
The spherical p-harmonic eigenvalue problem in non-smooth domains
(Academic Press INC Elsevier Science, 2018)
We prove the existence of p-harmonic functions under the form u(r, sigma) = r(-beta)omega(sigma) in any cone C-S generated by a spherical domain S and vanishing on partial derivative C-S. We prove the uniqueness of the ...
Fractional Laplacians on the sphere, the Minakshisundaram zeta function and semigroups
(American Mathematical Society, 2019)
In this paper we show novel underlying connections between fractional powers of the Laplacian on the unit sphere and functions from analytic number theory and differential geometry, like the Hurwitz zeta function and the ...
Random walks with unbounded jumps among random conductances I: Uniform quenched CLT
(Univ Washington, Dept MathematicsSeattleEUA, 2012)