SpringerOpen Newsletter

Receive periodic news and updates relating to SpringerOpen.

Open Access Research

Solutions of perturbed p-Laplacian equation with critical nonlinearity and magnetic fields

Huixing Zhang* and Juan Jiang

Author Affiliations

Department of Mathematics, China University of Mining and Technology, Xuzhou, Jiangsu, 221116, People?s Republic of China

For all author emails, please log on.

Boundary Value Problems 2013, 2013:217  doi:10.1186/1687-2770-2013-217

Published: 5 November 2013

Abstract

In this paper, we consider a perturbed p-Laplacian equation with critical nonlinearity and magnetic fields on <a onClick="popup('http://www.boundaryvalueproblems.com/content/2013/1/217/mathml/M1','MathML',630,470);return false;" target="_blank" href="http://www.boundaryvalueproblems.com/content/2013/1/217/mathml/M1">View MathML</a>. By using the variational method, we establish the existence of nontrivial solutions of the least energy.

MSC: 35B33, 35J60, 35J65.

Keywords:
p-Laplacian equation; critical nonlinearity; magnetic fields; mountain pass theorem