Nontrivial critical groups in $p$-Laplacian problems via the Yang index
Keywords
p-Laplacian, min-max eigenvalues, Yang index, critical groups, nodal regions, p-superlinear problemsAbstract
We construct and variationally characterize by a min-max procedure involving the Yang index a new sequence of eigenvalues of the $p$-Laplacian, and use the structure provided by this sequence to show that the associated variational functional always has a nontrivial critical group. As an application we obtain nontrivial solutions for a class of $p$-superlinear problems.Downloads
Published
2003-06-01
How to Cite
1.
PERERA, Kanishka. Nontrivial critical groups in $p$-Laplacian problems via the Yang index. Topological Methods in Nonlinear Analysis. Online. 1 June 2003. Vol. 21, no. 2, pp. 301 - 309. [Accessed 29 March 2024].
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