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Dirichlet problem on the upper half space

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In this paper, a solution of the Dirichlet problem on the upper half space for a fast growing continuous boundary function is constructed by the generalized Dirichlet integral with this boundary function.

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This work was supported by the National Natural Science Foundation of China (Grant Nos. 11301140 and U1304102). The authors are very grateful to Professor Guochang Wu for some very useful conversations related to this problem. The authors would also like to thank the referee for his/her careful reading and helpful suggestions which led to the improvement of their original manuscript.

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Correspondence to YUDONG REN.

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YANG, D., REN, Y. Dirichlet problem on the upper half space. Proc Math Sci 124, 175–178 (2014).

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2000 Mathematics Subject Classification.