Abstract
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.
Citation
Kanishka Perera. "Nontrivial critical groups in $p$-Laplacian problems via the Yang index." Topol. Methods Nonlinear Anal. 21 (2) 301 - 309, 2003.
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