Advances in Differential Equations

Multiple solutions for a null mass Neumann problem in exterior domains

Marcelo F. Furtado, Liliane A. Maia, and Everaldo S. Medeiros

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

In this paper we study the existence and multiplicity of solutions for the semilinear elliptic equation $-\Delta u = Q(x)f'(u)$ in an exterior domain with Neumann boundary conditions. We prove the existence of a positive ground state as well as a sign-changing solution under a double power growth condition on the nonlinearity.

Article information

Source
Adv. Differential Equations Volume 15, Number 1/2 (2010), 181-199.

Dates
First available in Project Euclid: 18 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.ade/1355854768

Mathematical Reviews number (MathSciNet)
MR2588394

Zentralblatt MATH identifier
1205.35095

Subjects
Primary: 35J20: Variational methods for second-order elliptic equations 35J65: Nonlinear boundary value problems for linear elliptic equations

Citation

Furtado, Marcelo F.; Maia, Liliane A.; Medeiros, Everaldo S. Multiple solutions for a null mass Neumann problem in exterior domains. Adv. Differential Equations 15 (2010), no. 1/2, 181--199. https://projecteuclid.org/euclid.ade/1355854768.


Export citation