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

页码：435 / 463

页数：29

共 51 条

[41] On symmetry of nonnegative solutions of elliptic equations
Polacik, P.
[J]. ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2012, 29 (01): : 1 - 19
[42] Singularity and decay estimates in superlinear problems via Liouville-type theorems,: I:: Elliptic equations and systems
Polacik, Peter
Quittner, Pavol
Souplet, Philippe
[J]. DUKE MATHEMATICAL JOURNAL, 2007, 139 (03) : 555 - 579
[43] REGULARITY AND WEAK COMPARISON PRINCIPLES FOR DOUBLE PHASE QUASILINEAR ELLIPTIC EQUATIONS
Riey, Giuseppe
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2019, 39 (08) : 4863 - 4873
[44] On the moving plane method for singular solutions to semilinear elliptic equations
Sciunzi, B.
[J]. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2017, 108 (01): : 111 - 123
[45] SERRIN J, 1971, ARCH RATION MECH AN, V43, P304
[46] Serrin J., 1970, J. Functional Analysis, V5, P184
[47] SYMMETRY PROPERTIES IN SYSTEMS OF SEMI-LINEAR ELLIPTIC-EQUATIONS
TROY, WC
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1981, 42 (03) : 400 - 413
[48] Trudinger N. S., 1973, Ann. Scuola Norm. Sup. Pisa, V27, P265
[49] ON HARNACK TYPE INEQUALITIES AND THEIR APPLICATION TO QUASILINEAR ELLIPTIC EQUATIONS
TRUDINGER, NS
[J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1967, 20 (04) : 721 - +
[50] ZHIKOV VV, 1986, MATH USSR IZV+, V50, P33

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