On noncoercive periodic systems with vector $p$-Laplacian
Słowa kluczowe
Vector p-Laplacian, p-superlinear potential, local linking, second deformation theorem, PS and C conditionsAbstrakt
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.Pobrania
Opublikowane
2011-04-23
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JEBELEAN, Petru & PAPAGEORGIOU, Nikolaos S. On noncoercive periodic systems with vector $p$-Laplacian. Topological Methods in Nonlinear Analysis [online]. 23 kwiecień 2011, T. 38, nr 2, s. 249–263. [udostępniono 22.7.2024].
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