32 citations · 51 across the 5 of their papers we have counts for
5 papers
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*}…
Existence and uniqueness of positive solutions for a class of logistic type elliptic equations in R^N involving fractional Laplacian
Alexander Quaas, Aliang Xia
In this paper, we study the existence and uniqueness of positive solutions for the following nonlinear fractional elliptic equation: \begin{eqnarray*} (-Δ)^αu=λa(x)u-b(x)u^p&{\rm i…
Existence results of positive solutions for nonlinear cooperative elliptic systems involving fractional Laplacian
Alexander Quaas, Aliang Xia
In this article, we prove existence results of positive solutions for the following nonlinear elliptic problem with gradient terms: \begin{eqnarray*} \left\{\begin{array}{l@{\quad…
A Liouville type theorem for Lane-Emden systems involving the fractional Laplacian
Alexander Quaas, Aliang Xia
We establish a Liouville type theorem for the fractional Lane-Emden system: \begin{eqnarray*} \left\{\begin{array}{l@{\quad }l} (-Δ)^αu=v^q&{\rm in}\,\,\R^N,\\ (-Δ)^αv=u^p&{\rm in}…