Existence of solutions to a class of elliptic equations with nonstandard growth condition and zero order term

doi:10.3868/S140-DDD-023-002-X

Front. Math. China

2023, Vol. 18

Issue (1) : 43-50 https://doi.org/10.3868/S140-DDD-023-002-X

RESEARCH　ARTICLE

Existence of solutions to a class of elliptic equations with nonstandard growth condition and zero order term

Zhongqing LI(

)

School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang 550025, China

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Abstract

The existence of bounded weak solutions, to a class of nonlinear elliptic equations with variable exponents, is investigated in this article. A uniform a priori $L ∞$ estimate is obtained by the De Giorgi iterative technique. Thanks to the weak convergence method and Minty's trick, the existence result is proved through limit process.

Keywords Elliptic equations variable exponents De Giorgi iteration Minty's trick

Online First Date: 22 May 2023 Issue Date: 31 May 2023

Cite this article:

Zhongqing LI. Existence of solutions to a class of elliptic equations with nonstandard growth condition and zero order term[J]. Front. Math. China, 2023, 18(1): 43-50.

URL:

https://academic.hep.com.cn/fmc/EN/10.3868/S140-DDD-023-002-X
https://academic.hep.com.cn/fmc/EN/Y2023/V18/I1/43

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