L^p ESTIMATES FOR WEAK SOLUTIONS TO NONLINEAR SUB-ELLIPTIC SYSTEMS RELATED TO H?RMANDER'S VECTOR FIELDS

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概要

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• This paper is concerned with the regularity of weak solutions to the general nonlinear sub-elliptic systems related to Hörmander's vector fields. Based on the reverse Hölder inequality established by Gianazza, the L^p estimates for weak solutions to the systems under the super-quadratic controllable growth condition and the natural growth condition are established, respectively. Then we obtain the Hölder continuity for weak solutions.

• Faculty of Mathematics, Kyushu Universityの論文

著者

• NIU Pengcheng

  Department of Applied Mathematics Northwestern Polytechnical University

• Wang Jialin

  Department of Applied Mathematics Northwestern Polytechnical University

• Cui Xuewei

  Department of Applied Mathematics Northwestern Polytechnical University

関連論文

• L^p ESTIMATES FOR WEAK SOLUTIONS TO NONLINEAR SUB-ELLIPTIC SYSTEMS RELATED TO H?RMANDER'S VECTOR FIELDS

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