Open Access Research

Existence of nontrivial solutions for perturbed p-Laplacian system involving critical nonlinearity and magnetic fields

Huixing Zhang*, Jiaying Liu and Wenbin Liu

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.

Citation and License

Boundary Value Problems 2013, 2013:11  doi:10.1186/1687-2770-2013-11

Published: 24 January 2013

Abstract

Under the suitable assumptions, we establish the existence of nontrivial solutions for a perturbed p-Laplacian system in <a onClick="popup('http://www.boundaryvalueproblems.com/content/2013/1/11/mathml/M1','MathML',630,470);return false;" target="_blank" href="http://www.boundaryvalueproblems.com/content/2013/1/11/mathml/M1">View MathML</a> with critical nonlinearity and magnetic fields by using the variational method.

MSC: 35B33, 35J60, 35J65.

Keywords:
p-Laplacian system; critical nonlinearity; magnetic fields; variational method