Existence and non-existence of solutions for a (p,q)-Laplacian Steklov system

In this paper, we study the existence and non-existence of a weak solutions to the following system: $$\left\{ \begin{array}{ll} \Delta_p u=\Delta_q v=0& \mbox{ in }\Omega\\ |\nabla u|^{p-2}\frac{\partial u}{\partial \nu}=\lambda m|u|^{p-2} u-\varepsilon[(\alpha+1)|u|^{\alpha-1}u |v|^{\beta+1}-...

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Bibliographic Details
Main Authors: Belhadj Karim, Youness Oubalhaj, Abdellah ZErouali
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2022-12-01
Series:Boletim da Sociedade Paranaense de Matemática
Online Access:https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/51864

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