Article citationsMore>>

Boureanu, M. and Mihailescu, M. (2008) Existence and Multiplicity of Solutions for a Neumann Problem Involving Variable Exponent Growth Conditions. Glasgow Mathematical Journal, 50, 565-574.
https://doi.org/10.1017/S0017089508004424

has been cited by the following article:

• TITLE: Existence of Entropy Solution for Degenerate Parabolic-Hyperbolic Problem Involving p(x)-Laplacian with Neumann Boundary Condition

  AUTHORS: Mohamed Karimou Gazibo, Duni Yegbonoma Frédéric Zongo

  KEYWORDS: Lebesgue and Sobolev Spaces with Variable Exponent, Weak Solution, Entropy Solution, Degenerate Parabolic-Hyperbolic Equation, Conservation Law, Leray Lions Type Operator, Neumann Boundary Condition, Existence Result

  JOURNAL NAME: Applied Mathematics, Vol.15 No.7, July 19, 2024

  ABSTRACT: We consider a strongly non-linear degenerate parabolic-hyperbolic problem with p(x)-Laplacian diffusion flux function. We propose an entropy formulation and prove the existence of an entropy solution.