Abdelali Sabri ; Ahmed Jamea ; Hamad Talibi Alaoui
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Existence of entropy solutions to nonlinear degenerate parabolic problems with variable exponent and L1-data
In the present paper, we prove existence results of entropy solutions to a class of nonlinear degenerate parabolic p(·)-Laplacian problem with Dirichlet-type boundary conditions and L 1 data. The main tool used here is the Rothe method combined with the theory of variable exponent Sobolev spaces.
Abbassi, Adil; Allalou, Chakir; Temghart, Said Ait, 2022, Entropy Solution Of Nonlinear Elliptic p(u)-Laplacian Problem, Lecture Notes In Networks And Systems, pp. 368-392, 10.1007/978-3-031-12416-7_32.
Sabri, Abdelali, 2022, Weak Solution For Nonlinear Fractional P(.)-Laplacian Problem With Variable Order Via Rothe'S Time-Discretization Method, Mathematical Modelling And Analysis, 27, 4, pp. 533-546, 10.3846/mma.2022.15740.
Saffidine, Khaoula Imane; Mesbahi, Salim, 2021, On The Existence And Uniqueness Of Positive Solution For A Degenerate Reaction-Diffusion Problem, 2021 International Conference On Recent Advances In Mathematics And Informatics (ICRAMI), 10.1109/icrami52622.2021.9585992.