Bounded Minimisers of Double Phase Variational Integrals

被引：422

作者：

Colombo, Maria ^{[1
]}

Mingione, Giuseppe ^{[2
]}

机构：

[1] Scuola Normale Super Pisa, I-56126 Pisa, Italy

[2] Univ Parma, Dipartimento Matemat & Informat, I-43124 Parma, Italy

来源：

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2015年 / 218卷 / 01期

关键词：

ELLIPTIC-EQUATIONS; SINGULAR SET; REGULARITY; FUNCTIONALS; APPROXIMATION; INTEGRABILITY; RELAXATION; EXISTENCE; GRADIENT; MINIMA;

D O I：

10.1007/s00205-015-0859-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Bounded minimisers of the functional w ->integral(broken vertical bar Dw(p) + a(x)broken vertical bar Dw broken vertical bar(q)) dx where and , are -regular provided the sharp bound holds.

引用

页码：219 / 273

页数：55

共 56 条

[21] Regularity for Double Phase Variational Problems [J].

Colombo, Maria ;

Mingione, Giuseppe .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2015, 215 (02) :443-496

[22] Holder continuity of the gradient of p(x)-harmonic mappings [J].

Coscia, A ;

Mingione, G .

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1999, 328 (04) :363-368

[23] Local Boundedness of Minimizers with Limit Growth Conditions [J].

Cupini, Giovanni ;

Marcellini, Paolo ;

Mascolo, Elvira .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2015, 166 (01) :1-22

[24]

Cupini G, 2014, ADV DIFFERENTIAL EQU, V19, P693

[25] Everywhere regularity of functionals with φ-growth [J].

Diening, Lars ;

Stroffolini, Bianca ;

Verde, Anna .

MANUSCRIPTA MATHEMATICA, 2009, 129 (04) :449-481

[26] Regularity for degenerate elliptic problems via p-harmonic approximation [J].

Duzaar, F ;

Mingione, G .

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2004, 21 (05) :735-766

[27] The p-harmonic approximation and the regularity of p-harmonic maps [J].

Duzaar, F ;

Mingione, G .

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2004, 20 (03) :235-256

[28] Harmonic type approximation lemmas [J].

Duzaar, Frank ;

Mingione, Giuseppe .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 352 (01) :301-335

[29] Sharp regularity for functionals with (p, q) growth [J].

Esposito, L ;

Leonetti, F ;

Mingione, G .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2004, 204 (01) :5-55

[30] Regularity for minimizers of functionals with p-q growth [J].

Esposito, Luca ;

Leonetti, Francesco ;

Mingione, Giuseppe .

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 1999, 6 (02) :133-148

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