Symmetry and monotonicity of singular solutions of double phase problems

被引：21
作者：
Biagi, Stefano [1 ]
Esposito, Francesco [2 ]
Vecchi, Eugenio [1 ]
机构：
[1] Politecn Milan, Dipartimento Matemat, Via Bonardi 9, I-20133 Milan, Italy
[2] Univ Calabria, Dipartimento Matemat & Informat, Ponte Pietro Bucci 31B, I-87036 Cosenza, Italy
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2021年 / 280卷
关键词：
Double phase problems; Singular solutions; Moving plane method; QUALITATIVE PROPERTIES; ELLIPTIC-EQUATIONS; REGULARITY; FUNCTIONALS; EXISTENCE; SYSTEMS; CALCULUS; THEOREMS;
D O I：
10.1016/j.jde.2021.01.029
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider positive singular solutions of PDEs arising from double phase functionals. Exploiting a rather new version of the moving plane method originally developed by Sciunzi, we prove symmetry and monotonicity properties of such solutions. (C) 2021 Elsevier Inc. All rights reserved.
引用
收藏
页码：435 / 463
页数：29
相关论文
共 51 条
  • [1] Alexandrov A. D., 1962, ANN MAT PUR APPL, V58, P303, DOI [10.1007/BF02413056, DOI 10.1007/BF02413056]
  • [2] [Anonymous], 2012, Advances in geometric analysis
  • [3] [Anonymous], 1996, ADV DIFFER EQU-NY
  • [4] Regularity for general functionals with double phase
    Baroni, Paolo
    Colombo, Maria
    Mingione, Giuseppe
    [J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2018, 57 (02)
  • [5] Berestycki H., 1991, Bol. Soc. Brasil. Mat. (N.S.), V22, P1, DOI [DOI 10.1007/BF01244896, 10.1007/BF01244896, DOI 10.1007/BF01244896.4]
  • [6] Semilinear elliptic equations involving mixed local and nonlocal operators
    Biagi, Stefano
    Vecchi, Eugenio
    Dipierro, Serena
    Valdinoci, Enrico
    [J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2021, 151 (05) : 1611 - 1641
  • [7] A SYMMETRY RESULT FOR COOPERATIVE ELLIPTIC SYSTEMS WITH SINGULARITIES
    Biagi, Stefano
    Valdinoci, Enrico
    Vecchi, Eugenio
    [J]. PUBLICACIONS MATEMATIQUES, 2020, 64 (02) : 621 - 652
  • [8] A SYMMETRY RESULT FOR ELLIPTIC SYSTEMS IN PUNCTURED DOMAINS
    Biagi, Stefano
    Valdinoci, Enrico
    Vecchi, Eugenio
    [J]. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2019, 18 (05) : 2843 - 2857
  • [9] Symmetry in the composite plate problem
    Colasuonno, Francesca
    Vecchi, Eugenio
    [J]. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2019, 21 (02)
  • [10] Symmetry and rigidity for the hinged composite plate problem
    Colasuonno, Francesca
    Vecchi, Eugenio
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2019, 266 (08) : 4901 - 4924
123456