Infinitely many solutions for a class of quasilinear elliptic equations with p-Laplacian in
College of Science, University of Shanghai for Science and Technology, Shanghai, 200093, China
Boundary Value Problems 2013, 2013:179 doi:10.1186/1687-2770-2013-179Published: 6 August 2013
In this paper, we study the multiplicity of solutions for a class of quasilinear elliptic equations with p-Laplacian in . In this case, the functional J is not differentiable. Hence, it is difficult to work under the classical framework of the critical point theory. To overcome this difficulty, we use a nonsmooth critical point theory, which provides the existence of critical points for nondifferentiable functionals.
MSC: 35J20, 35J92, 58E05.