activity
20182023
most citedPositive solutions for singular double phase problems

44 citations · 78 across the 7 of their papers we have counts for

collaborators

7 papers

math.AP2023★ 1 cited

Anisotropic -equations with convex and negative concave terms

Nikolaos S. Papageorgiou, Dušan D. Repovš, Calogero Vetro

We consider a parametric Dirichlet problem driven by the anisotropic -Laplacian and with a reaction which exhibits the combined effects of a superlinear (convex) term and of…

math.AP2023★ 2 cited

Constant sign and nodal solutions for parametric anisotropic -equations

Nikolaos S. Papageorgiou, Dušan D. Repovš, Calogero Vetro

We consider an anisotropic -equation, with a parametric and superlinear reaction term. We show that for all small values of the parameter the problem has at least five nontr…

math.AP2021★ 4 cited

The behavior of solutions of a parametric weighted (p,q)-Laplacian equation

Dušan D. Repovš, Calogero Vetro

We study the behavior of solutions for the parametric equation $$-Δ_{p}^{a_1} u(z)-Δ_{q}^{a_2} u(z)=λ|u(z)|^{q-2} u(z)+f(z,u(z)) \quad \mbox{in } Ω,\, λ>0,$$ under Dirichlet condit…

math.AP2021★ 44 cited

Positive solutions for singular double phase problems

Nikolaos S. Papageorgiou, Dušan D. Repovš, Calogero Vetro

We study the existence of positive solutions for a class of double phase Dirichlet equations which have the combined effects of a singular term and of a parametric superlinear term…

math.AP2020★ 3 cited

Nonlinear nonhomogeneous Robin problems with almost critical and partially concave reaction

N. S. Papageorgiou, D. D. Repovš, C. Vetro

We consider a nonlinear Robin problem driven by a nonhomogeneous differential operator, with reaction which exhibits the competition of two Carathéodory terms. One is parametric, $…

math.NA2019★ 24 cited

Iterative reconstruction of signals on graph

Emanuele Brugnoli, Elena Toscano, Calogero Vetro

We propose an iterative algorithm to interpolate graph signals from only a partial set of samples. Our method is derived from the well known Papoulis-Gerchberg algorithm by conside…