Some nonlinear elliptic systems with right-hand side integrable data with respect to the distance to the boundary |
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| Authors: | FengQuan Li |
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| Institution: | 1. School of Mathematical Sciences, Dalian University of Technology, Dalian, 116024, China
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| Abstract: | In this paper, we study the very weak solutions to some nonlinear elliptic systems with right-hand side integrable data with respect to the distance to the boundary. Firstly, we study the existence of the approximate solutions. Secondly, a priori estimates are given in the framework of weighted spaces. Finally, we prove the existence, uniqueness and regularity of the very weak solutions. |
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| Keywords: | very weak solutions existence and uniqueness regularity nonlinear elliptic systems distance to the boundary integrable data |
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