Multiplicity results for a class of $p(x)$-Kirchhoff type equations with combined nonlinearities

By Nguyen Thanh Chung. 2012

57 citations recorded by the source corpus.

Using the mountain pass theorem combined with the Ekeland variational prin- ciple, we obtain at least two distinct, non-trivial weak solutions for a class of p(x)-Kirchhoff type equations with combined nonlinearities. We also show that the similar results can be obtained in the case when the domain has cylindrical symmetry.

Subfields: Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/ee3145d62c114950a2061dfd12f0cc84f13ba2d9