Symmetric and Asymmetric Solutions of p-Laplace Elliptic Equations in Hollow Domains

In the present paper, we study the p-Laplace equation in a hollow symmetric bounded domain. Let H and G be closed subgroups of the orthogonal group such that H⊊G{H\varsubsetneq G}. Then we prove the existence of a positive solution which is H-invariant and G-non-invariant. Furthermore, we give sever...

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Bibliographic Details
Main Author: Kajikiya Ryuji
Format: Article
Language:English
Published: De Gruyter 2018-04-01
Series:Advanced Nonlinear Studies
Subjects:
Online Access:https://doi.org/10.1515/ans-2017-6023