146 citations · 354 across the 28 of their papers we have counts for
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Loss of boundary conditions for fully nonlinear parabolic equations with superquadratic gradient terms
Alexander Quaas, Andrei Rodríguez
We study whether the solutions of a fully nonlinear, uniformly parabolic equation with superquadratic growth in the gradient satisfy initial and homogeneous boundary conditions in…
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…
Principal eigenvalues of fully nonlinear integro-differential elliptic equations with a drift term
Alexander Quaas, Ariel Salort, Aliang Xia
We study existence of principal eigenvalues of fully nonlinear integro-differential elliptic equations with a drift term via the Krein-Rutman theorem which based on regularity up t…
Multiple positive solutions for nonlinear critical fractional elliptic equations involving sign-changing weight functions
Alexander Quaas, Aliang Xia
In this article, we prove the existence and multiplicity of positive solutions for the following fractional elliptic equation with sign-changing weight functions: \begin{eqnarray*}…