Regularity results for a new class of functionals with non-standard growth conditions
By Flavia Giannetti, Antonia Passarelli di Napoli. 2013
63 citations recorded by the source corpus.
Subfields: Applied Mathematics, Computational Theory and Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/58668359ab3e46da5820f4c81d2183d53798aa16
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
- P. Hasto
- Petteri Harjulehto
- Jihoon Ok
- Olli Toivanen
- Riku Klén
- Giuseppe Mingione
- Cristiana De Filippis
- Patrick Winkert
In Computational Theory and Mathematics
- P. Hasto
- Petteri Harjulehto
- Jihoon Ok
- Olli Toivanen
- Riku Klén
- Giuseppe Mingione
- Cristiana De Filippis
- Patrick Winkert
In Geometry and Topology
Citations in the corpus
- The maximal operator on generalized Orlicz spaces (2015, methodology): “Related differential equations have been studied recently by Baroni, Colombo and Mingione [1, 2, 3] and Giannetti and Passarelli di Napoli [14].”
- Hölder regularity of quasiminimizers under generalized growth conditions (2017, background): “In addition to being a natural generalization which covers results from both variable exponent and Orlicz spaces, the study of nonstandard growth problems can be motivated by applications to image processing [1, 6, 21], fluid dynamics [40, 41] and differential equations [2, 14, 17, 18, 37, 38] The s”
- Gradient estimates for elliptic equations with Lp(·)logL\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L^{p(\cdot )}\ (2016, background): “The functional (1.1) has been first treated by Giannetti and Passarelli di Napoli [20], in which they have shown that a local minimizer to (1.1) is Hölder continuous if p(·) is logHölder continuous, and its gradient is Hölder continuous if p(·) is Hölder continuous.”
- Generalized Orlicz spaces and related PDE (2016, methodology): “Regarding regularity theory of differential equations, Giannetti and Passarelli di Napoli [13] and Ok [29] as well as Baroni, Colombo and Mingione [3, 4, 7, 8, 9] studied the minimization problems”
- Maximal regularity for local minimizers of non-autonomous functionals (2019, unknown): “[44, 60, 72, 74].”