16 citations · 16 across the 6 of their papers we have counts for
9 papers
Higher-order asymptotic expansions and finite difference schemes for the fractional -Laplacian
Félix del Teso, María Medina, Pablo Ochoa
We propose a new asymptotic expansion for the fractional -Laplacian with precise computations of the errors. Our approximation is shown to hold in the whole range $p\in(1,\infty…
Regularity for degenerate evolution equations with strong absorption
Joao da Silva, Pablo Ochoa, Analía Silva
In this manuscript, we study geometric regularity estimates for degenerate parabolic equations of -Laplacian type () under a strong absorption condition: $ Δ_p…
Effect of Non-linear Lower Order Terms in Quasilinear Equations Involving the -Laplacian
Pablo Ochoa, Analia Silva
In this work, we study the existence of -solutions to the following boundary value problem involving the -Laplacian operator: \begin{equation*} \left\l…
A capacity-based condition for existence of solutions to fractional elliptic equations with first-order terms and measures
María Laura de Borbón, Pablo Ochoa
In this manuscript, we appeal to Potential Theory to provide a sufficient condition for existence of distributional solutions to fractional elliptic problems with non-linear first-…
A note on quasilinear equations with fractional diffusion
Boumediene Abdellaoui, Pablo Ochoa, Ireneo Peral
In this paper, we study the existence of distributional solutions of the following non-local elliptic problem \begin{eqnarray*} \left\lbrace \begin{array}{l} (-Δ)^{s}u + |\nabla u|…
Fractional elliptic problems with nonlinear gradient sources and measures
João Vitor da Silva, Pablo Ochoa, Analía Silva
In this manuscript we deal with existence/uniqueness and regularity issues of suitable weak solutions to nonlocal problems driven by fractional Laplace type operators. Different fr…