Patterns of non-radial solutions to coupled semilinear elliptic systems on a disc

In this paper, we prove the existence of non-radial solutions to the problem −△u=f(z,u), u|∂D=0 on the unit disc D≔{z∈ℂ:|z|

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Bibliographic Details
Published in:Nonlinear analysis 2021-01, Vol.202, p.112094, Article 112094
Main Authors: Balanov, Zalman, Hooton, Edward, Krawcewicz, Wieslaw, Rachinskii, Dmitrii
Format: Article
Language:English
Subjects:
Dirichlet Laplacian
Equivariant Brouwer degree
Non-radial solutions
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Summary:In this paper, we prove the existence of non-radial solutions to the problem −△u=f(z,u), u|∂D=0 on the unit disc D≔{z∈ℂ:|z|
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2020.112094