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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.AP2020

An existence result for singular Finsler double phase problems

Csaba Farkas, Patrick Winkert

In this paper, we study a class of singular double phase problems defined on Minkowski spaces in terms of Finsler manifolds and with right-hand sides that allow a certain type of c…

math.AP2020

Existence and nonexistence of positive solutions for singular (p,q)-equations with superdiffusive perturbation

Nikolaos S. Papageorgiou, Patrick Winkert

We consider a nonlinear Dirichlet problem driven by the -Laplacian and with a reaction which is parametric and exhibits the combined effects of a singular term and of a supe…

math.AP2020

On a class of singular anisotropic -equations

Nikolaos S. Papageorgiou, Patrick Winkert

We consider a Dirichlet problem driven by the anisotropic -Laplacian and with a reaction that has the competing effects of a singular term and of a parametric superlinear pe…

math.AP2020

Robin fractional problems with symmetric variable growth

Anouar Bahrouni, Vicentiu Radulescu, Patrick Winkert

In this paper we study the fractional p(., .)-Laplacian and we introduce the corresponding nonlocal conormal derivative for this operator. We prove basic properties of the correspo…