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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

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

Published: 24 January 2013


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.

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