SpringerOpen Newsletter

Receive periodic news and updates relating to SpringerOpen.

Open Access Research

Existence of nontrivial solutions for p-Kirchhoff type equations

Chunhan Liu*, Jianguo Wang and Qingling Gao

Author Affiliations

Department of Mathematics, Qilu Normal University, Jinan, 250013, P.R. China

For all author emails, please log on.

Boundary Value Problems 2013, 2013:279  doi:10.1186/1687-2770-2013-279

Published: 30 December 2013

Abstract

In this paper, the linking theorem and the mountain pass theorem are used to show the existence of nontrivial solutions for the p-Kirchhoff equations without assuming Ambrosetti-Rabinowitz type growth conditions, nontrivial solutions are obtained.

MSC: 35J60, 35J25.

Keywords:
linking theorem; mountain pass theorem; nontrivial solutions