Qualitative Properties of Solutions to a Class of Sixth-Order Equations

In this paper, we present a detailed study of a class of sixth-order semilinear PDEs: existence, regularity and uniqueness. The uniqueness results are a consequence of a maximum principle called the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inl...

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Bibliographic Details
Main Author: Cristian-Paul Danet
Format: Article
Language:English
Published: MDPI AG 2023-03-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/11/6/1280
Description
Summary:In this paper, we present a detailed study of a class of sixth-order semilinear PDEs: existence, regularity and uniqueness. The uniqueness results are a consequence of a maximum principle called the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="normal">P</mi></semantics></math></inline-formula>-function method.
ISSN:2227-7390