论文标题
$ p $ laplace热量方程的关键指数与非线性
Critical exponents for the $p$-Laplace heat equations with combined nonlinearities
论文作者
论文摘要
本文研究了与非线性联合性抛物性抛物线方程的溶液对溶液的大型行为。该方程是jleli-samet-soupet（Proc AMS，2020）考虑的热方程式的自然扩展。首先，我们专注于关键指数不连续性的有趣现象。特别是，对于关键情况，我们将填补Jleli-Samet-Seoplet的结果的空白。我们还对强迫术语对所考虑问题的关键行为的影响感兴趣，因此我们将根据强迫术语定义另一个关键指数。
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-Samet-Souplet (Proc AMS, 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-Samet-Souplet 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.
