Existence and multiplicity of $a$-harmonic solutions for a Steklov problem with variable exponents

Using variational methods, we prove in a different cases the existence and multiplicity of $a$-harmonic solutions for the following elleptic problem:\begin{equation*}\begin{gathered}div(a(x, \nabla u))=0, \quad \text{in }\Omega, \\a(x, \nabla u).\nu=f(x,u), \quad \text{on } \partial\Omega,\end{gathe...

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Bibliographic Details
Main Authors: Abdellah Ahmed Zerouali, Belhadj Karim, Omar Chakrone
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2018-04-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
Online Access:https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/31071

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