In this paper, we give a Landesman-Lazer type theorem for periodic solutions of the asymmetric 1-dimensional p-Laplacian equation -(|x'|^p-2x')'=λ|x|^p-2x++μ|x|^p-2x-+f(t,x)with periodic boundary value.
In this paper, the existence and multiplicity of a class of double resonant semilineax elliptic equations with the Dirichlet boundary value axe studied.
基金This work is supported by NSFC,RFDP of the Ministry of Education of China the 973 Project of the Ministry of Science and Technology of China
文摘In this paper, we give a Landesman-Lazer type theorem for periodic solutions of the asymmetric 1-dimensional p-Laplacian equation -(|x'|^p-2x')'=λ|x|^p-2x++μ|x|^p-2x-+f(t,x)with periodic boundary value.
基金The first author is supported by -National Natural Science Foundation of China the second author is supported by the Doctoral Fund of North China University of Technology
文摘In this paper, the existence and multiplicity of a class of double resonant semilineax elliptic equations with the Dirichlet boundary value axe studied.