Dirichlet Problems with Unbalanced Growth and Convection

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-01-01 DOI:10.14232/ejqtde.2022.1.41

Zhenhai Liu, N. Papageorgiou

引用次数: 0

Abstract

We consider a double phase Dirichlet problem with a gradient dependent reaction term (convection). Using the theory of nonlinear operators of monotone type, we show the existence of a bounded strictly positive solution. Moreover, we show that the set of these solutions is compact in the corresponding generalized Sobolev–Orlicz space.

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非平衡增长和对流的Dirichlet问题

我们考虑了具有梯度相关反应项(对流)的双相狄利克雷问题。利用单调型非线性算子的理论，证明了有界严格正解的存在性。此外，我们证明了这些解的集合在相应的广义Sobolev-Orlicz空间中是紧致的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

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