Nonlinear elliptic equations with variable exponent: Old and new

By Vicentiu D. Rădulescu. 2015

287 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/e583d48accb5e27c0f13cc204cdd8552edd1cc93

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In Applied Mathematics

In Computational Theory and Mathematics

Citations in the corpus

On the Regularity of Minima of Non-autonomous Functionals (2019, background): “r |z| large, where p− := minB p(x) and p+ := maxB p(x). There is a by now extensive literature on the regularity for minima of functionals (1.2)-(1.3), see for instance [3,4,11,12,14,16–22,48,51] and [46,49] for overviews. More in general, larger classes of functionals deﬁned in so-called Musielak-O”
Double phase transonic flow problems with variable growth: nonlinear patterns and stationary waves (2019, methodology): “We also point out the abstract setting, respectively the variational analysis developed in the monograph by Rădulescu and Repovš [33] (see also the survey papers [31, 32]).”
Double phase problems with variable growth (2018, background): “4) are essentially due to Fan and Zhao [29], see also [21], [22], and [30].”
Maximal regularity for local minimizers of non-autonomous functionals (2019, methodology): “These models were first studied by Zhikov [85, 86] in the 1980’s in relation to Lavrentiev’s phenomenon and have been considered in hundreds of papers since [71, 75].”
Isotropic and anisotropic double-phase problems: old and new (2019, background): “INTRODUCTION This paper complements our recent work [31], which was devoted to nonlinear problems driven by the p(x)-Laplace operator.”
On a p(x)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\varvec{p(x)}$$\end{document}-biharmonic problem with singula (2017, background): “For recent contributions concerning this type of equations, we refer to [3,25,26].”
On a new fractional Sobolev space and applications to nonlocal variational problems with variable exponent (2017, methodology): “We refer to [18, 19] for the abstract treatment of function spaces with variable exponent.”