[HTML][HTML] Regularity results for vectorial minimizers of a class of degenerate convex integrals

G Cupini, F Giannetti, R Giova, AP di Napoli - Journal of Differential …, 2018 - Elsevier
We establish the higher differentiability and the higher integrability for the gradient of
vectorial minimizers of integral functionals with (p, q)-growth conditions. We assume that the …

Nonuniformly elliptic energy integrals with p, q-growth

G Cupini, P Marcellini, E Mascolo - Nonlinear Analysis, 2018 - Elsevier
We study the local boundedness of minimizers of a nonuniformly energy integral of the
form∫ Ω f (x, D v) dx under p, q-growth conditions of the type λ (x)| ξ| p≤ f (x, ξ)≤ μ (x) 1+| ξ …

Regularity results for a priori bounded minimizers of non-autonomous functionals with discontinuous coefficients

R Giova, A Passarelli di Napoli - Advances in Calculus of Variations, 2019 - degruyter.com
We prove the higher differentiability and the higher integrability of the a priori bounded local
minimizers of integral functionals of the form ℱ⁢(v, Ω)=∫ Ω f⁢(x, D⁢ v⁢(x))⁢ dx, with convex …

Lipschitz regularity of minimizers of variational integrals with variable exponents

M Eleuteri, AP di Napoli - Nonlinear Analysis: Real World Applications, 2023 - Elsevier
In this paper we prove the Lipschitz regularity for local minimizers of convex variational
integrals of the form F (v, Ω)=∫ Ω F (x, D v (x)) dx, where, for n≥ 2 and N≥ 1, Ω is a …

Higher differentiability of solutions for a class of obstacle problems with variable exponents

N Foralli, G Giliberti - Journal of Differential Equations, 2022 - Elsevier
In this paper we prove a higher differentiability result for the solutions to a class of obstacle
problems in the form min⁡{∫ Ω F (x, D w) dx: w∈ K ψ (Ω)} where ψ∈ W 1, p (x)(Ω) is a fixed …

Higher integrability for minimizers of asymptotically convex integrals with discontinuous coefficients

G Cupini, F Giannetti, R Giova, AP di Napoli - Nonlinear Analysis: Theory …, 2017 - Elsevier
We study the local regularity of vectorial minimizers of integral functionals with standard p-
growth. We assume that the non-homogeneous densities are uniformly convex and have a …

On higher differentiability of solutions of parabolic systems with discontinuous coefficients and (p, q)-growth

F Giannetti, AP di Napoli, C Scheven - Proceedings of the Royal …, 2020 - cambridge.org
We consider weak solutions to parabolic systems of the type are coupled by for some κ∈(0,
1). For the gap between the two growth exponents we assume. We use the corresponding a …

Calculus of variations--regularity results for non-autonomous variational integrals with discontinuous coefficients

AP di Napoli - Rendiconti Lincei-Matematica E Applicazioni, 2015 - go.gale.com
Calculus of variations--regularity results for non-autonomous variational integrals with
discontinuous coefficients - Document - Gale Academic OneFile Use this link to get back to this …

Regularity results for solutions to a class of non-autonomous obstacle problems with sub-quadratic growth conditions

A Gentile, R Giova - Nonlinear Analysis: Real World Applications, 2022 - Elsevier
We establish some higher differentiability results for solution to non-autonomous obstacle
problems of the form min∫ Ω fx, D v (x) dx: v∈ K ψ (Ω), where the function f satisfies p …

Besov regularity for a class of elliptic obstacle problems with double-phase Orlicz growth

L Zhao, S Zheng - Journal of Mathematical Analysis and Applications, 2024 - Elsevier
In this paper, we consider local Besov regularity of to the elliptic variational inequality with
double-phase Orlicz growth:∫ Ω< A (x, D u), D (u− φ)> dx≤∫ Ω< B (x, F), D (u− φ)> dx∀ …