20 citations · 50 across the 7 of their papers we have counts for
8 papers
On problems with weighted elliptic operator and general growth nonlinearities
John Villavert
This article establishes existence, non-existence and Liouville-type theorems for nonlinear equations of the form $$-div (|x|^{a} D u ) = f(x,u), ~ u > 0,\, \mbox{ in } Ω,$$ where…
A refined approach for non-negative entire solutions of with subcritical Sobolev growth
John Villavert
Let and . Consider the Lane-Emden equation in and recall the classical Liouville type theorem: if is a non-nega…
Asymptotic and optimal Liouville properties for Wolff type integral systems
John Villavert
This article examines the properties of positive solutions to fully nonlinear systems of integral equations involving Hardy and Wolff potentials. The first part of the paper establ…
A characterization of fast decaying solutions for quasilinear and Wolff type systems with singular coefficients
John Villavert
This paper examines the decay properties of positive solutions for a family of fully nonlinear systems of integral equations containing Wolf potentials and Hardy weights. This clas…
Qualitative properties of solutions for an integral system related to the Hardy-Sobolev inequality
John Villavert
This article carries out a qualitative analysis on a system of integral equations of the Hardy--Sobolev type. Namely, results concerning Liouville type properties and the fast and…
Sharp existence criteria for positive solutions of Hardy-Sobolev type systems
John Villavert
This paper examines systems of poly-harmonic equations of the Hardy--Sobolev type and the closely related weighted systems of integral equations involving Riesz potentials. Namely,…