Existence and multiplicity results for elliptic problems with Nonlinear Boundary Conditions and variable exponents

Existence and multiplicity results for elliptic problems with Nonlinear Boundary Conditions and variable exponents

By applaying the Ricceri's three critical points theorem, we show the existence of at least three solutions to the following elleptic problem: \begin{equation*} \begin{gathered} -div[a(x, \nabla u)]+|u|^{p(x)-2}u=\lambda f(x,u), \quad \text{in }\Omega, \\ a(x, \nabla u).\nu=\mu g(x,u), \quad...

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Bibliographic Details
Main Authors: Abdellah Ahmed Zerouali, Belhadj Karim, Omarne Chakrone, Aomar Anane
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2015-08-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
Variable exponents
Elliptic problem
Nonlinear boundary conditions
\hfill\break\indent Multiple solutions
Three critical points theorem
Variational methods
Online Access:http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/23355

Internet

http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/23355

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