Multiple solutions for nonhomogeneous neumann differential inclusion problems by the p(x)-Laplacian.
A class of nonlinear Neumann problems driven by p(x)-Laplacian with a nonsmooth locally Lipschitz potential (hemivariational inequality) was considered. The approach used in this paper is the variational method for locally Lipschitz functions. More precisely, Weierstrass theorem and Mountain Pass theorem are used to prove the existence of at least two nontrivial solutions.
Library, Northeast Forestry University, Harbin 150040, China.
Qing-Mei
QM
Zhou
D000465:Algorithms; D003198:Computer Simulation; D008433:Mathematics; D008962:Models, Theoretical; D009716:Numerical Analysis, Computer-Assisted