Symmetry and monotonicity of singular solutions of double phase problems

被引:22
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
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 Ale62 A. D., 1962, ANN MAT PUR APPL, V58, P303, DOI [10.1007/BF02413056, DOI 10.1007/BF02413056]
[2]   Regularity for general functionals with double phase [J].
Baroni, Paolo ;
Colombo, Maria ;
Mingione, Giuseppe .
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2018, 57 (02)
[3]  
Berestycki H., 1991, BOL SOC BRAS MAT, V22, P1, DOI [DOI 10.1007/BF01244896, 10.1007/BF01244896]
[4]   Semilinear elliptic equations involving mixed local and nonlocal operators [J].
Biagi, Stefano ;
Vecchi, Eugenio ;
Dipierro, Serena ;
Valdinoci, Enrico .
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2021, 151 (05) :1611-1641
[5]   A SYMMETRY RESULT FOR COOPERATIVE ELLIPTIC SYSTEMS WITH SINGULARITIES [J].
Biagi, Stefano ;
Valdinoci, Enrico ;
Vecchi, Eugenio .
PUBLICACIONS MATEMATIQUES, 2020, 64 (02) :621-652
[6]   A SYMMETRY RESULT FOR ELLIPTIC SYSTEMS IN PUNCTURED DOMAINS [J].
Biagi, Stefano ;
Valdinoci, Enrico ;
Vecchi, Eugenio .
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2019, 18 (05) :2843-2857
[7]  
Caffarelli L., 2012, ADV LECT MATH ALM, P97
[8]   Symmetry in the composite plate problem [J].
Colasuonno, Francesca ;
Vecchi, Eugenio .
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2019, 21 (02)
[9]   Symmetry and rigidity for the hinged composite plate problem [J].
Colasuonno, Francesca ;
Vecchi, Eugenio .
JOURNAL OF DIFFERENTIAL EQUATIONS, 2019, 266 (08) :4901-4924
[10]   Eigenvalues for double phase variational integrals [J].
Colasuonno, Francesca ;
Squassina, Marco .
ANNALI DI MATEMATICA PURA ED APPLICATA, 2016, 195 (06) :1917-1959