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Supported by the National Natural Science Foundation of China(11271247);the Excellent Youth Talented Project of the Colleges and Universities in Anhui Province(gxyqZD2016520);the Key Project for Teaching Research in Anhui Province(2017jyxm0591,2018jyxm0594);the Key Project for Natural Science Research in Anhui Province(KJ2015A347,KJ2019A1300).
The singularly perturbed Robin boundary value problem for the higher order elliptic equation is considered.Under suitable conditions,the existence and asymptotic behavior of solution to the boundary value problems are...
In this paper,some existence results for the fourth order nonlinear subelliptic equations on the Heisenberg group are given by means of variational methods.
The singularly perturbed elliptic equation boundary value problem with a curve of turning point is considered. Using the method of multiple scales and the comparison theorem, the asymptotic behavior of solution for th...
Supported by the National Natural Science Foundation of China (1 0 0 71 0 4 8)
The singularly perturbed Robin boundary value problems for the semilinear elliptic equation are considered.Under suitable conditions and by using the fixed point theorem the existence,uniqueness and asymptotic behavio...
This research is supported by NNSFC(1 9771 0 72 ) and ZNSF.And thanks to JNCASR in India Fortheir host when the firstauthor is
It is proved that the semilinear elliptic problem with zero boundary value -Δ u=λu-|u| q-1 u has a changing sign solution, as q∈(0,1) and λ>λ 2 , where λ 2 is the second eigenvalue of the ope...
Supported by the National Science Foundation of China(1 9771 0 72 ) and the Science Foundation of Zhe-jiang Province(1 970 1 0
The following regularity of weak solutions of a class of elliptic equations of the form are investigated, div A(x,u,Du)+B(x,u,Du)=0 in Ω.(*) Here Ω R n is a bounded domain, A(x,z,p)=(A 1(x,z,p),A 2(x,z,p),....
Abstract In this paper the implicit obstacle problem of fully nonlinear second order elliptic equations associated with impulsive control problem are investigated.The comparion principle for viscosity solutions is pro...
In this paper we consider the Dirichlet problems of a non-uniformly digenerate elliptic equations of the formwhose prototype iswhere n C 1 N is a bounded domain,0