Abstract
In a bounded connected domainR N , N > 1, with a smooth boundary, we consider the Dirichlet boundary value problem for elliptic equation with a convex-concave nonlinearity ( −�u = �juj q−2 u + juj −2 u, x 2 uj@ = 0, where 1 < q < 2 < < 2 � . As a main result, we prove the existence of a nodal solution to this equation on the nonlocal interval � 2 (−1 ,� � ), where � � is determined by the
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