Resonance problems with respect to the Fuč́ık spectrum of the p - Laplacian ∗ Kanishka Perera

Resonance problems with respect to the Fuč́ık spectrum of the p - Laplacian ∗

We solve resonance problems with respect to the Fuč́ık spectrum of the p-Laplacian using variational methods.

Some Remarks on the Fuč́ık Spectrum of the p-Laplacian and Critical Groups

MULTIPLE POSITIVE SOLUTIONS OF SINGULAR DISCRETE p-LAPLACIAN PROBLEMS VIA VARIATIONAL METHODS

We obtain multiple positive solutions of singular discrete p-Laplacian problems using variational methods.

Existence and Uniqueness of Solutions for Boundary Value Problems to the Singular One-Dimension p-Laplacian

NONTRIVIAL CRITICAL GROUPS IN p -LAPLACIAN PROBLEMS VIA THE YANG INDEX

We construct and variationally characterize by a min-max procedure involving the Yang index a new sequence of eigenvalues of the pLaplacian, 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.