Solutions for nonlinear Neumann problems via degree theory for multivalued perturbations of (S)+ maps

Ravi P. Agarwal; Michael E. Filippakis; Donal O'Regan; Nikolaos S. Papageorgiou

Solutions for nonlinear Neumann problems via degree theory for multivalued perturbations of (S)₊ maps

Ravi P. Agarwal
, Michael E. Filippakis
, Donal O'Regan
, Nikolaos S. Papageorgiou

Mathematics

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

1 Citation (Scopus)

Abstract

We consider a nonlinear Neumann problem driven by the p-Laplacian differential operator and with a nonsmooth potential function (hemivariational inequality). Using a degree-theoretic approach based on the degree map for certain multivalued perturbations of (S)_+-operators, we prove the existence of a nontrivial smooth solution.

Original language	English
Pages (from-to)	961-980
Number of pages	20
Journal	Advances in Differential Equations
Volume	11
Issue number	9
Publication status	Published - 2006

Cite this

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title = "Solutions for nonlinear Neumann problems via degree theory for multivalued perturbations of (S)+ maps",

abstract = "We consider a nonlinear Neumann problem driven by the p-Laplacian differential operator and with a nonsmooth potential function (hemivariational inequality). Using a degree-theoretic approach based on the degree map for certain multivalued perturbations of (S)+-operators, we prove the existence of a nontrivial smooth solution.",

author = "Agarwal, \{Ravi P.\} and Filippakis, \{Michael E.\} and Donal O'Regan and Papageorgiou, \{Nikolaos S.\}",

year = "2006",

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T1 - Solutions for nonlinear Neumann problems via degree theory for multivalued perturbations of (S)+ maps

AU - Agarwal, Ravi P.

AU - Filippakis, Michael E.

AU - O'Regan, Donal

AU - Papageorgiou, Nikolaos S.

PY - 2006

Y1 - 2006

N2 - We consider a nonlinear Neumann problem driven by the p-Laplacian differential operator and with a nonsmooth potential function (hemivariational inequality). Using a degree-theoretic approach based on the degree map for certain multivalued perturbations of (S)+-operators, we prove the existence of a nontrivial smooth solution.

AB - We consider a nonlinear Neumann problem driven by the p-Laplacian differential operator and with a nonsmooth potential function (hemivariational inequality). Using a degree-theoretic approach based on the degree map for certain multivalued perturbations of (S)+-operators, we prove the existence of a nontrivial smooth solution.

UR - https://www.scopus.com/pages/publications/70349876235

M3 - Article

SN - 1079-9389

VL - 11

SP - 961

EP - 980

JO - Advances in Differential Equations

JF - Advances in Differential Equations

IS - 9

ER -

Solutions for nonlinear Neumann problems via degree theory for multivalued perturbations of (S)₊ maps

Abstract

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