具有奇异梯度低阶项和变指数的退化椭圆问题

Q3 Mathematics Mathematical Modeling and Computing Pub Date : 2023-01-01 DOI:10.23939/mmc2023.01.133

M. A. Zouatini, F. Mokhtari, H. Khelifi

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引用次数: 2

摘要

本文利用梯度和Lm(⋅)(m(x)≥1)数据，证明了一类具有退化矫顽力和自然增长的低阶奇异项的非线性椭圆方程弱解的存在性和正则性。函数设置涉及可变指数的Lebesgue-Sobolev空间。

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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Degenerate elliptic problem with singular gradient lower order term and variable exponents

In this paper, we prove the existence and regularity of weak solutions for a class of nonlinear elliptic equations with degenerate coercivity and singular lower-order terms with natural growth with respect to the gradient and Lm(⋅) (m(x)≥1) data. The functional setting involves Lebesgue–Sobolev spaces with variable exponents.

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来源期刊

Mathematical Modeling and Computing Computer Science-Computational Theory and Mathematics

CiteScore

1.60

自引率

0.00%

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