146 citations · 289 across the 27 of their papers we have counts for
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A Hopf's lemma and a strong minimum principle for the fractional -Laplacian
Leandro M. Del Pezzo, Alexander Quaas
Our propose here is to provide a Hopf Lemma and a strong minimum principle for week supersolutions of \[ (-Δ_p)^s u= c(x)|u|^{p-2}u \quad \text{ in } Ω\] where is an open set o…
Non-resonant Fredholm alternative and anti-maximum principle for the fractional Laplacian
Leandro M. Del Pezzo, Alexander Quaas
In this paper we extend two nowadays classical results to a nonlinear Dirichlet problem to equations involving the fractional Laplacian. The first result is a existence in a no…
Monotonicity of solutions for some nonlocal elliptic problems in half-spaces
B. Barrios, L. Del Pezzo, J. Garcia-Melian +1
In this paper we consider classical solutions of the semilinear fractional problem in with in ,…
Eigenvalues for systems of fractional Laplacians
Leandro M. Del Pezzo, Julio D. Rossi
We study the eigenvalue problem for a system of fractional Laplacians, that is, $$ \begin{cases} (-Δ_p)^r u = λ\dfracαp|u|^{α-2}u|v|^β &\text{in } Ω,\vspace{.1cm} (-Δ_p)^s u =…
Finite element approximation for the fractional eigenvalue problem
Juan Pablo Borthagaray, Leandro M. Del Pezzo, Sandra Martínez
The purpose of this work is to study a finite element method for finding solutions to the eigenvalue problem for the fractional Laplacian. We prove that the discrete eigenvalue pro…
Fractional eigenvalue problems that approximate Steklov eigenvalues
Leandro M. Del Pezzo, Julio D. Rossi, Ariel M. Salort
In this paper we analyze possible extensions of the classical Steklov eigenvalue problem to the fractional setting. In particular, we find a nonlocal eigenvalue problem of fraction…