(p, 2)-equations resonant at any variational eigenvalue. Issue 7 (2nd July 2020)

• Record Type: Journal Article
• Authors: Papageorgiou, N. S.; Vetro, C.; Vetro, F.
• Is Part Of: Complex variables and elliptic equations. Volume 65:Issue 7(2020)
• Page Start: 1077
• Page End: 1103
• Publication Date: 2020-07-02
• Subjects: V. Rădulescu; p-Laplacian -- Laplacian -- variational eigenvalues -- resonance -- multiple solutions -- critical groups -- nonlinear regularity theory; 35J20 -- 35J60 -- 58E05; Functions of complex variables -- Periodicals; Differential equations, Elliptic -- Periodicals; 515.905
• DOI: 10.1080/17476933.2018.1508287
• Languages: English
• ISSNs: 1747-6933

Abstract

ABSTRACT: We consider nonlinear elliptic Dirichlet problems driven by the sum of a p -Laplacian and a Laplacian (a ( p, 2 ) -equation). The reaction term at ± ∞ is resonant with respect to any variational eigenvalue of the p -Laplacian. We prove two multiplicity theorems for such equations.