Critical exponents for the p-Laplace heat equations with combined nonlinearities

Torebek B.T.
December 2023 Birkhauser

Journal of Evolution Equations
2023 #23 Issue 4

This paper studies the large-time behavior of solutions to the quasilinear inhomogeneous parabolic equation with combined nonlinearities. This equation is a natural extension of the heat equations with combined nonlinearities considered by Jleli et al. (Proc Am Math Soc 148:2579–2593, 2020). Firstly, we focus on an interesting phenomenon of discontinuity of the critical exponents. In particular, we will fill the gap in the results of Jleli et al. (2020) for the critical case. We are also interested in the influence of the forcing term on the critical behavior of the considered problem, so we will define another critical exponent depending on the forcing term.

Combined nonlinearities , Critical exponents , Global solutions , P-Laplace heat equation

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Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University, Krijgslaan 281, Ghent, 9000, Belgium
Institute of Mathematics and Mathematical Modeling, 125 Pushkin str., Almaty, 050010, Kazakhstan

Department of Mathematics: Analysis
Institute of Mathematics and Mathematical Modeling

10 лет помогаем публиковать статьи Международный издатель

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