By means of critical point theory on manifolds, we establish the existence of one, two or three solutions for a constrained Neumann problem driven by the p-Laplacian operator and depending on two real parameters. As a special application, we prove the existence of two nontrivial solutions for an unconstrained Neumann problem with positively homogeneous functions.
Multiplicity results for constrained Neumann problems
IANNIZZOTTO, ANTONIO;
2013-01-01
Abstract
By means of critical point theory on manifolds, we establish the existence of one, two or three solutions for a constrained Neumann problem driven by the p-Laplacian operator and depending on two real parameters. As a special application, we prove the existence of two nontrivial solutions for an unconstrained Neumann problem with positively homogeneous functions.
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