... proof. □3 Proof of main results For the sake of convenience, we will denote various positive constants as Ci, i =1,2,3, Now, we are ready to proof our main results.Proof of Theorem 1.1. For u ... follows from (1) which are appeared in the proof of Theorem 1.2. Then the proof of Theorem 1.3 is completed. □Proof of Theorem 1.4. From the proof of Theorem 1.1, we know that is coercivewhich ... Correspondence:mathswzhy@126.com1Department of Mathematics,Nanjing University of InformationScience and Technology, Nanjing210044, Jiangsu, People’s Republic of ChinaFull list of author information isavailable at the end of the...