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math.AP2020

Existence results for double phase problems depending on Robin and Steklov eigenvalues for the -Laplacian

Said El Manouni, Greta Marino, Patrick Winkert

In this paper we study double phase problems with nonlinear boundary condition and gradient dependence. Under quite general assumptions we prove existence results for such problems…

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…

math.AP2020

Sign changing solution for a double phase problem with nonlinear boundary condition via the Nehari manifold

Leszek Gasinski, Patrick Winkert

In this paper we study quasilinear elliptic equations driven by the so-called double phase operator and with a nonlinear boundary condition. Due to the lack of regularity, we prove…