Analysis of an elliptic system with infinitely many solutions

We consider the elliptic system Δ⁢u=up⁢vq${\Delta u\hskip-0.284528pt=\hskip-0.284528ptu^{p}v^{q}}$, Δ⁢v=ur⁢vs${\Delta v\hskip-0.284528pt=\hskip-0.284528ptu^{r}v^{s}}$ in Ω with the boundary conditions ∂⁡u/∂⁡η=λ⁢u${{\partial u/\partial\eta}=\lambda u}$, ∂⁡v/∂⁡η=μ⁢v${{\partial v/\partial\eta}=\mu v}$...

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Bibliographic Details
Main Authors: Cortázar Carmen, Elgueta Manuel, García-Melián Jorge
Format: Article
Language:English
Published: De Gruyter 2017-02-01
Series:Advances in Nonlinear Analysis
Subjects:
Online Access:https://doi.org/10.1515/anona-2015-0151