MULTIPLICITY RESULTS FOR A CLASS OF p(x)-KIRCHHOFF TYPE EQUATIONS WITH COMBINED NONLINEARITIES

作者：Nguyen Thanh Chung^*

来源：Electronic Journal of Qualitative Theory of Differential Equations, 2012, (42): 1-13.

• p(x)-Kirchhoff type operator
• Multiple solutions
• Mountain pass theorem
• Ekeland's principle

Using the mountain pass theorem combined with the Ekeland variational principle, 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.

• 出版日期2012