Advances in Differential Equations
- Adv. Differential Equations
- Volume 15, Number 1/2 (2010), 181-199.
Multiple solutions for a null mass Neumann problem in exterior domains
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.
Adv. Differential Equations, Volume 15, Number 1/2 (2010), 181-199.
First available in Project Euclid: 18 December 2012
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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