MULTIPLE SOLUTIONS FOR A NULL MASS NEUMANN PROBLEM IN EXTERIOR DOMAINS

作者：Furtado Marcelo F^*; Maia Liliane A; Medeiros Everaldo S

来源：Advances in Differential Equations, 2010, 15(1-2): 181-199.

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.

• 出版日期2010-2