Global weighted estimates for quasilinear elliptic equations with non-standard growth |
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Authors: | Chao Zhang Shulin Zhou |
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Institution: | 1. Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China;2. LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, China |
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Abstract: | In this paper we obtain a new global gradient estimates in weighted Lorentz spaces for weak solutions of p(x)-Laplacian type equation with small BMO coefficients in a δ-Reifenberg flat domain. The modified Vitali covering lemma, the maximal function technique and the appropriate localization method are the main analytical tools. Our results improve the known results for such equations. |
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Keywords: | primary 35R05 35R35 secondary 35J15 35J25 |
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