4 papers
Fractional KPZ equations with critical growth in the gradient respect to Hardy potential
Boumediene Abdellaoui, Ireneo Peral, Ana Primo +1
In this work we study the existence of positive solution to the fractional quasilinear problem, $$ \left\{ \begin{array}{rcll} (-Δ)^s u &=&λ\dfrac{u}{|x|^{2s}}+ |\nabla u|^{p}+ μf…
Neumann conditions for the higher order -fractional Laplacian with
B. Barrios, L. Montoro, I. Peral +1
In this paper we study a variational Neumann problem for the higher order -fractional Laplacian, with . In the process, we introduce some non-local Neumann boundary conditi…
Principal Eigenvalue of Mixed Problem for the Fractional Laplacian: Moving the Boundary Conditions
Tommaso Leonori, Maria Medina, Ireneo Peral +2
We analyze the behavior of the eigenvalues of the following non local mixed problem $\left\{ \begin{array}{rcll} (-Δ)^{s} u &=& λ_1(D) \ u &\innΩ,\\ u&=&0&\inn D,\\ \mathcal{N}_{s}…
Localization and dimension free estimates for maximal functions
Alberto Criado, Fernando Soria
In the recent paper [J. Funct. Anal. {\bf 259} (2010)], Naor and Tao introduce a new class of measures with a so-called micro-doubling property and present, via martingale theory a…