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20172023
most citedDouble-phase problems with reaction of arbitrary growth

83 citations · 675 across the 31 of their papers we have counts for

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Showing 2021 · math.APShow all

7 papers · 2 filters

math.AP2021★ 10 cited

Anisotropic -equations with gradient dependent reaction

Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš

We consider a Dirichlet problem driven by the anisotropic -Laplacian and a reaction with gradient dependence (convection). The presence of the gradient in the source term ex…

math.AP2021★ 22 cited

Parametric superlinear double phase problems with singular term and critical growth on the boundary

Ángel Crespo-Blanco, Nikolaos S. Papageorgiou, Patrick Winkert

In this paper we study quasilinear elliptic equations driven by the double phase operator along with a reaction that has a singular and a parametric superlinear term and with a non…

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.AP2021

A multiplicity theorem for anisotropic Robin equations

Nikolaos S. Papageorgiou, Patrick Winkert

In this paper we consider an anisotropic Robin problem driven by the -Laplacian and a superlinear reaction. Applying variational tools along with truncation and comparison te…

math.AP2021

Positive solutions for singular anisotropic -equations

Nikolaos S. Papageorgiou, Patrick Winkert

In this paper we consider a Dirichlet problem driven by an anisotropic -differential operator and a parametric reaction having the competing effects of a singular term and o…

math.AP2021★ 1 cited

On the logistic equation for the fractional p-Laplacian

Antonio Iannizzotto, Sunra Mosconi, Nikolaos S. Papageorgiou

We consider a Dirichlet type problem for a nonlinear, nonlocal equation driven by the degenerate fractional p-Laplacian, with a logistic type reaction depending on a positive param…

math.AP2021★ 4 cited

Existence of solutions for singular double phase problems via the Nehari manifold method

Wulong Liu, Guowei Dai, Nikolaos S. Papageorgiou +1

In this paper we study quasilinear elliptic equations driven by the double phase operator and a right-hand side which has the combined effect of a singular and of a parametric term…