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Qualitative properties of nonnegative solutions of some semilinear elliptic equations in cylindrical domains.

Authors :
Chen, Hongbin
Wu, Ke
Yao, Ruofei
Source :
Calculus of Variations & Partial Differential Equations. Jul2023, Vol. 62 Issue 6, p1-23. 23p.
Publication Year :
2023

Abstract

In this paper, we study symmetry and monotonicity properties of nonnegative solutions of semilinear elliptic equations with mixed boundary conditions in a half cylinder. We will prove that under suitable conditions, every bounded nonnegative solution of the equation has one-dimensional symmetry. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
09442669
Volume :
62
Issue :
6
Database :
Academic Search Index
Journal :
Calculus of Variations & Partial Differential Equations
Publication Type :
Academic Journal
Accession number :
165112903
Full Text :
https://doi.org/10.1007/s00526-023-02515-5