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Convergence of gradient of solutions to elliptic equations with nonuniform growth 被引量:2

Convergence of gradient of solutions to elliptic equations with nonuniform growth
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摘要 In this paper, we study elliptic partial differential equations with nonuniform growth, and obtain the strong convergence of the gradient of truncations of solutions and the strong convergence of the gradient of solutions in the setting of some Musielak-Orlicz spaces. Our results are generalization of the corresponding results for elliptic partial differential equations with power growth. In this paper, we study elliptic partial differential equations with nonuniform growth, and obtain the strong convergence of the gradient of truncations of solutions and the strong convergence of the gradient of solutions in the setting of some Musielak-Orlicz spaces. Our results are generalization of the corresponding results for elliptic partial differential equations with power growth.
机构地区 Dept. of Mathematics
出处 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2002年第4期351-353,共3页 哈尔滨工业大学学报(英文版)
基金 SponsoredbyScientificResearchFoundationofHarbinInstituteofTechnology .
关键词 GRADIENT CONVERGENCE ELLIPTIC EQUATION gradient convergence elliptic equation
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