Let Gλ,λ>0,be a Grushin type operator on Rn×Rm.In this paper,we will first establish existence and uniqueness for the p-Laplace equation for Gλ,then we prove the regularity of solutions.In order to prove ou...Let Gλ,λ>0,be a Grushin type operator on Rn×Rm.In this paper,we will first establish existence and uniqueness for the p-Laplace equation for Gλ,then we prove the regularity of solutions.In order to prove our results,we will get the Harnack inequality for Gλ,which maybe has independent interest.展开更多
基金Supported by the Fundamental Research Funds for the Central Universities(Grant No.500422107)。
文摘Let Gλ,λ>0,be a Grushin type operator on Rn×Rm.In this paper,we will first establish existence and uniqueness for the p-Laplace equation for Gλ,then we prove the regularity of solutions.In order to prove our results,we will get the Harnack inequality for Gλ,which maybe has independent interest.
