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57 papers · 1 filter
A double-phase Neumann problem with
Alexandros Matsoukas, Nikos Yannakakis
We study a double-phase Neumann problem with non-homogeneous boundary conditions, where the lowest exponent is equal to 1. The existence of a solution is established as the lim…
Yet another best approximation isotropic elasticity tensor in plane strain
Jendrik Voss, Panos Gourgiotis, Peter Lewintan +2
For plane strain linear elasticity, given any anisotropic elasticity tensor , we determine a best approximating isotropic counterpart …
Green's functions for the isotropic planar relaxed micromorphic model -- concentrated force and concentrated couple
Panos Gourgiotis, Gianluca Rizzi, Peter Lewintan +4
We derive the Green's functions (concentrated force and couple in an infinite space) for the isotropic planar relaxed micromorphic model. Since the relaxed micromorphic model parti…
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…
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…
The double phase Dirichlet problem when the lowest exponent is equal to 1
Alexandros Matsoukas, Nikos Yannakakis
In this paper we prove an existence and uniqueness result for the double phase Dirichlet problem when the lowest exponent is equal to 1. Our solution is a function of bounded varia…