Remarks on radial symmetry and monotonicity for solutions of semilinear higher order elliptic equations

Half a century after the appearance of the celebrated paper by Serrin about overdetermined boundary value problems in potential theory and related symmetry properties, we reconsider semilinear polyharmonic equations under Dirichlet boundary conditions in the unit ball of $ \mathbb{R}^{n} $. We discu...

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Bibliographic Details
Main Authors: Filippo Gazzola, Gianmarco Sperone
Format: Article
Language:English
Published: AIMS Press 2022-10-01
Series:Mathematics in Engineering
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/mine.2022040?viewType=HTML