Higher integrability for nonlinear elliptic equations with variable growth and discontinuous coefficients |
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| Authors: | Xia Zhang Yan Huo Yongqiang Fu |
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| Affiliation: | 1. Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China;2. College of Aerospace and Civil Engineering, Harbin Engineering University, Harbin 150001, China |
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| Abstract: | In this paper, based on the theory of variable exponent spaces, we study the higher integrability for a class of nonlinear elliptic equations with variable growth and discontinuous coefficients. Under suitable assumptions, we obtain a local gradient estimate in Orlicz space for weak solution. |
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| Keywords: | Variable exponent Sobolev space Orlicz space Gradient estimate |
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