Monotonicity and symmetry of positive solutions to degenerate quasilinear elliptic systems in half-spaces and strips | Zendy

Phuong Le | Zendy; HoangHung Vo | Zendy

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Monotonicity and symmetry of positive solutions to degenerate quasilinear elliptic systems in half-spaces and strips

Author(s) -

Phuong Le,

HoangHung Vo

Publication year - 2022

Publication title -

communications on pure andamp 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.

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