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

Title & Authors
MULTIPLE SOLUTIONS FOR A p-LAPLACIAN SYSTEM WITH NONLINEAR BOUNDARY CONDITIONS
Zhou, Jun; Kim, Chan-Gyun;

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;
Language
English
Cited by
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