Advances in Differential Equations

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

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

Full-text: Access denied (no subscription detected) We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text

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.

Article information

Source
Adv. Differential Equations Volume 11, Number 9 (2006), 961-980.

Dates
First available in Project Euclid: 18 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.ade/1355867609

Mathematical Reviews number (MathSciNet)
MR2263668

Zentralblatt MATH identifier
1185.35076

Subjects
Primary: 35J60: Nonlinear elliptic equations
Secondary: 35J25: Boundary value problems for second-order elliptic equations 35J70: Degenerate elliptic equations 47H11: Degree theory [See also 55M25, 58C30] 47H14: Perturbations of nonlinear operators [See also 47A55, 58J37, 70H09, 70K60, 81Q15] 47N20: Applications to differential and integral equations

Citation

Agarwal, Ravi P.; Filippakis, Michael E.; O'Regan, Donal; Papageorgiou, Nikolaos S. Solutions for nonlinear Neumann problems via degree theory for multivalued perturbations of $(S)_+$ maps. Adv. Differential Equations 11 (2006), no. 9, 961--980. https://projecteuclid.org/euclid.ade/1355867609.


Export citation