Multiple solutions of semilinear elliptic systems on the Heisenberg group
College of Science, University of Shanghai for Science and Technology, Shanghai, 200093, China
Boundary Value Problems 2013, 2013:157 doi:10.1186/1687-2770-2013-157Published: 1 July 2013
In this paper, a class of semilinear elliptic systems which have a strong resonance at the first eigenvalue on the Heisenberg group is considered. Under certain assumptions, by virtue of the variational methods, the multiple weak solutions of the systems are obtained.
MSC: 35J20, 35J25, 65J67.