Michela Eleuteri

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SUNTO: In questo lavoro si provano risultati di regolarità per minimi di fun-zionali scalari f (x, u, Du) a crescita non-standard di tipo p(x),ciò e: L −1 |z| p(x) ≤ f (x, s, z) ≤ L(1 + |z| p(x)). Si considerano per la funzione esponente p(x) > 1 ipotesi di regolarità ottima-li. ABSTRACT: We prove regularity results for real valued minimizers of the(More)
In most cases authors are permitted to post their version of the article (e.g. in Word or Tex form) to their personal website or institutional repository. Authors requiring further information regarding Elsevier's archiving and manuscript policies are encouraged to visit: Abstract We study the flow of a conducting fluid surrounded by a ferromagnetic solid ,(More)
This paper addresses a three-dimensional model for isothermal stress-induced transformation in shape memory polycrystalline materials in presence of permanent inelastic effects. The basic features of the model are recalled and the constitutive and the three-dimensional quasi-static evolution problem are proved to be well-posed. Finally, we discuss the(More)
We prove regularity results for minimizers of functionals F(u, Ω) := Ω f (x, u, Du) dx in the class K := {u ∈ W 1,p(x) (Ω, R) : u ≥ ψ}, where ψ : Ω → R is a fixed function and f is quasiconvex and fulfills a growth condition of the type L −1 |z| p(x) ≤ f (x, ξ, z) ≤ L(1 + |z| p(x)), with growth exponent p : Ω → (1, ∞).
Copyright line will be provided by the publisher We prove C 0,α regularity for minimizers u of functionals with p(x)-growth of the type F(w, Ω) := Z Ω f (x, w(x), Dw(x)) dx, in the class K := {w ∈ W 1,p(x) (Ω; R) : w ≥ ψ}, where the exponent function p : Ω → (1, ∞) is assumed to be continuous with a modulus of continuity satisfying lim sup ρ→0 ω(ρ) log " 1(More)
We consider a model system describing the two-dimensional flow of a conducting fluid surrounded by a ferromagnetic solid under the influence of the hysteretic response of the surrounding medium. We assume that this influence can be represented by the Preisach hysteresis operator. Existence and uniqueness of solutions for the resulting system of PDEs with(More)
For minimizers u ∈ W 1,p(x) (Ω) of quasiconvex integral functionals of the type F [u] := Ω f (x, Du(x)) dx with p(x) growth in the class K := {u ∈ W 1,p(x) (Ω) : u ≥ ψ}, where ψ ∈ W 1,p(x) (Ω) is a given obstacle function, we show estimates of Calderón-Zygmund type, i.e. |Dψ| p(·) ∈ L q =⇒ |Du| p(·) ∈ L q , for any q > 1, provided that the modulus of(More)
We address the thermal control of the quasi-static evolution of a polycrystalline shape memory alloy specimen. The thermomechanical evolution of the body is described by means of an extension of the phenomenological Souza-Auricchio model [6, 7, 8, 57] accounting also for permanent inelastic effects [9, 11, 27]. By assuming to be able to control the(More)
We study the regularity properties of solutions to el-liptic equations similar to the p(·)-Laplacian. Our main results are a global reverse Hölder inequality, Hölder continuity up to the boundary, and stability of solutions with respect to continuous perturbations in the variable growth exponent. We assume that the complement of the domain is uniformly fat(More)