Weak and renormalized solutions for anisotropic Neumann problems with degenerate coercivity

In this work, we study the following quasilinear Neumann boundary-value problem $$\left\{\begin{array}{ll} \displaystyle -\sum^{N}_{i=1} D^{i}(a_{i}(x,u,\nabla u))+|u|^{p_{0}-2} u= f(x,u,\nabla u) & \mbox{in } \ \quad \Omega,\\ \displaystyle \sum^{N}_{i=1} a_{i}(x,u,\nabla u)\cdot n_{i} = g(x)...

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Bibliographic Details
Main Authors: Mohamed Badr Benboubker, Hayat Benkhalou, Hassane Hjiaj
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/62362