DEGREE THEORETIC METHODS IN THE STUDY OF NONLINEAR PERIODIC PROBLEMS WITH NONSMOOTH POTENTIALS

Donal O'Regan

DEGREE THEORETIC METHODS IN THE STUDY OF NONLINEAR PERIODIC PROBLEMS WITH NONSMOOTH POTENTIALS

Donal O'Regan

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

Abstract

In this paper we study periodic problems driven by the scalar ordinary p-Laplacian and with a nonsmooth potential. Using degree theoretic methods based on a fixed-point index for nonconvex-valued multifunctions, we prove two existence theorems. In the first we employ nonuniform nonresonance conditions between two successive eigenvalues of the negative p-Laplacian with periodic boundary conditions. In the second we use Landesman-Lazer conditions.

Original language	English (Ireland)
Number of pages	17
Journal	DIFFERENTIAL AND INTEGRAL EQUATIONS
Volume	19
Publication status	Published - 1 Mar 2006

Authors (Note for portal: view the doc link for the full list of authors)

Authors
Agarwal, RP;Filippakis, ME;O'Regan, D;Papageorgiou, NS

Cite this

@article{7bcd0649b4a440b3ad418cf30905e513,

title = "DEGREE THEORETIC METHODS IN THE STUDY OF NONLINEAR PERIODIC PROBLEMS WITH NONSMOOTH POTENTIALS",

abstract = "In this paper we study periodic problems driven by the scalar ordinary p-Laplacian and with a nonsmooth potential. Using degree theoretic methods based on a fixed-point index for nonconvex-valued multifunctions, we prove two existence theorems. In the first we employ nonuniform nonresonance conditions between two successive eigenvalues of the negative p-Laplacian with periodic boundary conditions. In the second we use Landesman-Lazer conditions.",

author = "Donal O'Regan",

year = "2006",

month = mar,

day = "1",

language = "English (Ireland)",

volume = "19",

journal = "DIFFERENTIAL AND INTEGRAL EQUATIONS",

}

TY - JOUR

T1 - DEGREE THEORETIC METHODS IN THE STUDY OF NONLINEAR PERIODIC PROBLEMS WITH NONSMOOTH POTENTIALS

AU - O'Regan, Donal

PY - 2006/3/1

Y1 - 2006/3/1

N2 - In this paper we study periodic problems driven by the scalar ordinary p-Laplacian and with a nonsmooth potential. Using degree theoretic methods based on a fixed-point index for nonconvex-valued multifunctions, we prove two existence theorems. In the first we employ nonuniform nonresonance conditions between two successive eigenvalues of the negative p-Laplacian with periodic boundary conditions. In the second we use Landesman-Lazer conditions.

AB - In this paper we study periodic problems driven by the scalar ordinary p-Laplacian and with a nonsmooth potential. Using degree theoretic methods based on a fixed-point index for nonconvex-valued multifunctions, we prove two existence theorems. In the first we employ nonuniform nonresonance conditions between two successive eigenvalues of the negative p-Laplacian with periodic boundary conditions. In the second we use Landesman-Lazer conditions.

M3 - Article

VL - 19

JO - DIFFERENTIAL AND INTEGRAL EQUATIONS

JF - DIFFERENTIAL AND INTEGRAL EQUATIONS

ER -

DEGREE THEORETIC METHODS IN THE STUDY OF NONLINEAR PERIODIC PROBLEMS WITH NONSMOOTH POTENTIALS

Abstract

Authors (Note for portal: view the doc link for the full list of authors)

Fingerprint

Cite this