Open AccessMonotonicity and symmetry of positive solutions to degenerate quasilinear elliptic systems in half-spaces and strips
Author(s) -
Phuong Le,
Hoang-Hung Vo
Publication year - 2022
Publication title -
communications on pure and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.077
H-Index - 42
eISSN - 1553-5258
pISSN - 1534-0392
DOI - 10.3934/cpaa.2022008
Subject(s) - degenerate energy levels , monotonic function , symmetry (geometry) , mathematics , strips , type (biology) , mathematical analysis , pure mathematics , mathematical physics , physics , geometry , quantum mechanics , geology , algorithm , paleontology
By means of the method of moving planes, we study the monotonicity of positive solutions to degenerate quasilinear elliptic systems in half-spaces. We also prove the symmetry of positive solutions to the systems in strips by using similar arguments. Our work extends the main results obtained in [ 16 , 20 ] to the system, in which substantial differences with the single cases are presented.