2017
Том 69
№ 9

All Issues

Critical Points Approaches to Elliptic Problems Driven by a p(x)-Laplacian

Ge B., Heidarkhani S.


Abstract

We establish the existence of at least three solutions for elliptic problems driven by a p(x)-Laplacian. The existence of at least one nontrivial solution is also proved. The approaches are based on the variational methods and critical-point theory.

English version (Springer): Ukrainian Mathematical Journal 66 (2014), no. 12, pp 1883-1903.

Citation Example: Ge B., Heidarkhani S. Critical Points Approaches to Elliptic Problems Driven by a p(x)-Laplacian // Ukr. Mat. Zh. - 2014. - 66, № 12. - pp. 1676-1693.