Quasilinear parabolic equations with p(x)-Laplacian di usion terms and nonlocal boundary conditions
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Date
2019
Authors
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Publisher
Université de M'sila
Abstract
In this study, we prove the existence of local solution for a quasi linear
generalized parabolic equation with nonlocal boundary conditions for an elliptic
operator involving the variable-exponent nonlinearities, using Faedo-Galerkin
arguments and compactness method.
Description
Keywords
Nonlocal boundary conditions, quasi-linear parabolic equations, generalized Lebesgue space and Sobolev spaces with variable exponen