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Qualitative properties of nonnegative solutions of some semilinear elliptic equations in cylindrical domains.
- 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]
- Subjects :
- SEMILINEAR elliptic equations
SYMMETRY
Subjects
Details
- Language :
- English
- ISSN :
- 09442669
- Volume :
- 62
- Issue :
- 6
- Database :
- Complementary 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