(p,2)-equations resonant at any variational eigenvalue

Calogero Vetro; Francesca Vetro; Nikolaos S. Papageorgiou

(p,2)-equations resonant at any variational eigenvalue

Calogero Vetro, Francesca Vetro, Nikolaos S. Papageorgiou

Matematica e Informatica

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

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.

Original language	English
Pages (from-to)	1077-1103
Number of pages	27
Journal	Complex Variables and Elliptic Equations
Volume	65
Publication status	Published - 2020

All Science Journal Classification (ASJC) codes

Analysis
Numerical Analysis
Computational Mathematics
Applied Mathematics

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title = "(p,2)-equations resonant at any variational eigenvalue",

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.",

author = "Calogero Vetro and Francesca Vetro and Papageorgiou, {Nikolaos S.}",

year = "2020",

language = "English",

volume = "65",

pages = "1077--1103",

journal = "Complex Variables and Elliptic Equations",

issn = "1747-6933",

publisher = "Taylor and Francis Ltd.",

}

TY - JOUR

T1 - (p,2)-equations resonant at any variational eigenvalue

AU - Vetro, Calogero

AU - Vetro, Francesca

AU - Papageorgiou, Nikolaos S.

PY - 2020

Y1 - 2020

N2 - 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.

AB - 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.

UR - http://hdl.handle.net/10447/419140

M3 - Article

VL - 65

SP - 1077

EP - 1103

JO - Complex Variables and Elliptic Equations

JF - Complex Variables and Elliptic Equations

SN - 1747-6933

ER -