This paper investigates the multiplicity of solutions for quasilinear elliptic equations with $p(x)$-Laplacian in $\mathbb{R}^{N}$ by using the nonsmooth critical point theory. We obtain the existence of critical points for nondifferentiable functionals.
Taiwanese J. Math.
20(1):
109-128
(2016).
DOI: 10.11650/tjm.20.2016.5423