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http://dx.doi.org/10.4134/BKMS.2014.51.1.099

MULTIPLE SOLUTIONS FOR A p-LAPLACIAN SYSTEM WITH NONLINEAR BOUNDARY CONDITIONS  

Zhou, Jun (School of Mathematics and Statistics Southwest University)
Kim, Chan-Gyun (Department of Mathematics College of William and Mary)
Publication Information
Bulletin of the Korean Mathematical Society / v.51, no.1, 2014 , pp. 99-113 More about this Journal
Abstract
A nonlinear elliptic problem involving p-Laplacian and nonlinear boundary condition is considered in this paper. By using the method of Nehari manifold, it is proved that the system possesses two nontrivial nonnegative solutions if the parameter is small enough.
Keywords
p-Laplacian systems; nonlinear boundary condition; multiple solutions; Nehari manifold;
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