Existence and regularity of minimizers of nonconvex integrals with p-q growth

被引：15
|
作者：
Celada, Pietro
Cupini, Giovanni
Guidorzi, Marcello
机构：
[1] Univ Parma, Dipartimento Matemat, I-43100 Parma, Italy
[2] Univ Florence, Dipartimento Matemat U Dini, I-50134 Florence, Italy
[3] Univ Ferrara, Dipartimento Matemat, I-44100 Ferrara, Italy
来源：
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS | 2007年 / 13卷 / 02期
关键词：
nonstandard growth; existence; Lipschitz continuity;
D O I：
10.1051/cocv:2007014
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We show that local minimizers of functionals of the form [GRAPHICS] are locally Lipschitz continuous provided f is a convex function with p-q growth satisfying a condition of qualified convexity at infinity and g is Lipschitz continuous in u. As a consequence of this, we obtain an existence result for a related nonconvex functional.
引用
收藏
页码：343 / 358
页数：16
相关论文
共 50 条
  • [21] Existence of Minimizers for Nonconvex Variational Problems with Slow Growth
    G. Crasta
    Journal of Optimization Theory and Applications, 1998, 99 : 381 - 401
  • [22] 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)
  • [23] Borderline Lipschitz regularity for bounded minimizers of functionals with (p, q)-growth
    Adimurthi, Karthik
    Tewary, Vivek
    FORUM MATHEMATICUM, 2022, 34 (05) : 1365 - 1381
  • [24] Partial regularity of minimizers of quasiconvex integrals with subquadratic growth
    Menita Carozza
    Nicola Fusco
    Giuseppe Mingione
    Annali di Matematica Pura ed Applicata, 1998, 175 : 141 - 164
  • [25] Partial Regularity of Minimizers of Quasiconvex Integrals with Subquadratic Growth
    Carozza, Menita
    Fusco, Nicola
    Mingione, Giuseppe
    ANNALI DI MATEMATICA PURA ED APPLICATA, 1998, 175 (01) : 141 - 164
  • [26] 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):
  • [27] A boundary regularity result for minimizers of variational integrals with nonstandard growth
    Bulicek, Miroslav
    Maringova, Erika
    Stroffolini, Bianca
    Verde, Anna
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2018, 177 : 153 - 168
  • [28] Partial regularity for minimizers of discontinuous quasiconvex integrals with general growth
    Goodrich, Christopher
    Scilla, Giovanni
    Stroffolini, Bianca
    PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2022, 152 (05) : 1191 - 1232
  • [29] Existence of vector minimizers for nonconvex 1-dim integrals with almost convex Lagrangian
    Carlota, Clara
    Ornelas, Antonio
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2007, 243 (02) : 414 - 426
  • [30] Lipschitz regularity for degenerate elliptic integrals with p, q-growth
    Cupini, Giovanni
    Marcellini, Paolo
    Mascolo, Elvira
    di Napoli, Antonia Passarelli
    ADVANCES IN CALCULUS OF VARIATIONS, 2021, : 443 - 465
12345