ON THE REGULARITY OF MINIMIZERS FOR SCALAR INTEGRAL FUNCTIONALS WITH (p, q)-GROWTH

被引：36

作者：

Bella, Peter ^{[1
]}

Schaeffner, Mathias ^{[2
]}

机构：

[1] Tech Univ Dortmund, Fak Math, Dortmund, Germany

[2] Univ Leipzig, Math Inst, Leipzig, Germany

来源：

ANALYSIS & PDE | 2020年 / 13卷 / 07期

关键词：

nonuniformly elliptic equations; local Lipschitz continuity; (p; q)-growth; nonstandard growth conditions; ELLIPTIC-EQUATIONS;

D O I：

10.2140/apde.2020.13.2241

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We revisit the question of regularity for minimizers of scalar autonomous integral functionals with so-called (p, q)-growth. In particular, we establish Lipschitz regularity under the condition q/p < 1 + 2/n-1 for n >= 3, improving a classical result due to Marcellini (J. Differential Equations 90:1 (1991), 1-30).

引用

页码：2241 / 2257

页数：17

共 50 条

[1] Regularity for minimizers of scalar integral functionals with (p, q)-growth conditions
Grimaldi, Antonio Giuseppe
Mascolo, Elvira
di Napoli, Antonia Passarelli
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2024, 31 (06):
[2] Regularity for minimizers of functionals with p – q growth
Luca Esposito
Francesco Leonetti
Giuseppe Mingione
Nonlinear Differential Equations and Applications NoDEA, 1999, 6 : 133 - 148
[3] Regularity for minimizers of functionals with p-q growth
Esposito, Luca
Leonetti, Francesco
Mingione, Giuseppe
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 1999, 6 (02): : 133 - 148
[4] Higher integrability for minimizers of integral functionals with (p, q) growth
Esposito, L
Leonetti, F
Mingione, G
JOURNAL OF DIFFERENTIAL EQUATIONS, 1999, 157 (02) : 414 - 438
[5] Quasiconvex Functionals of (p, q)-Growth and the Partial Regularity of Relaxed Minimizers
Gmeineder, Franz
Kristensen, Jan
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2024, 248 (05)
[6] Borderline Lipschitz regularity for bounded minimizers of functionals with (p, q)-growth
Adimurthi, Karthik
Tewary, Vivek
FORUM MATHEMATICUM, 2022, 34 (05) : 1365 - 1381
[7] Gradient regularity for minimizers of functionals under p-q subquadratic growth
Leonetti, F
Mascolo, E
Siepe, F
BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 2001, 4B (03): : 571 - 586
[8] Regularity of quasi-minimizers of integral functionals with discontinuous p(x)-growth conditions
Fan, Xianling
Zhao, Dun
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2006, 65 (08) : 1521 - 1531
[9] LOCAL BOUNDEDNESS OF MINIMIZERS OF INTEGRAL FUNCTIONALS WITH (p, q)-GROWTH ON METRIC SPACES
Maasalo, Outi Elina
Stroffolini, Bianca
Verde, Anna
FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI, 2009, 40 (01) : 127 - 138
[10] Lipschitz Regularity for a Priori Bounded Minimizers of Integral Functionals with Nonstandard Growth
Eleuteri, Michela
di Napoli, Antonia Passarelli
POTENTIAL ANALYSIS, 2025, 62 (03) : 535 - 562

← 1 2 3 4 5 →