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Symmetry and attractors: The case N ≤ 4.
In: Symmetrization and Stabilization of Solutions of Nonlinear Elliptic Equations. Providence, RI: American Mathematical Society (AMS), 2018. 177-186 (Fields Inst. Monogr. ; 36)
In the previous chapter, we showed that nonnegative solutions of elliptic equations in “asymptotically symmetric” domains are “asymptotically symmetric” as well (see Theorem 3.3 ). However, in order to prove Theorem 3.3, we imposed a restriction on the dimension (less or equal 3) of the underlying domain, which was crucial for our proof. The goal of this chapter is to extend Theorem 3.3 for higher dimensions.
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Publication type
Article: Edited volume or book chapter
ISSN (print) / ISBN
1069-5273
e-ISSN
1069-5273
Book Volume Title
Symmetrization and Stabilization of Solutions of Nonlinear Elliptic Equations
Journal
Fields Institute monographs
Quellenangaben
Volume: 36,
Pages: 177-186
Publisher
American Mathematical Society (AMS)
Publishing Place
Providence, RI
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Institute of Computational Biology (ICB)