On noncoercive periodic systems with vector $p$-Laplacian
Keywords
Vector p-Laplacian, p-superlinear potential, local linking, second deformation theorem, PS and C conditionsAbstract
We consider nonlinear periodic systems driven by the vector $p$-Laplacian. An existence and a multiplicity theorem are proved. In the existence theorem the potential function is $p$-superlinear, but in general does not satisfy the AR-condition. In the multiplicity theorem the problem is strongly resonant with respect to the principal eigenvalue $\lambda_0=0$. In both of the cases the Euler-Lagrange functional is noncoercive and the method is variational.Downloads
Published
2011-04-23
How to Cite
1.
JEBELEAN, Petru and PAPAGEORGIOU, Nikolaos S. On noncoercive periodic systems with vector $p$-Laplacian. Topological Methods in Nonlinear Analysis. Online. 23 April 2011. Vol. 38, no. 2, pp. 249 - 263. [Accessed 13 November 2024].
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