Bulletin of the Korean Mathematical Society
A nonlinear elliptic problem involving p-Laplacian and nonlinear boundary condition is considered in this paper. By using the method of Nehari manifold, it is proved that the system possesses two nontrivial nonnegative solutions if the parameter is small enough.
Zhou, J., & Kim, C. G. (2014). Multiple Solutions for a p-Laplacian System with Nonlinear Boundary Conditions. Bulletin of the Korean Mathematical Society, 51(1), 99-113.