par Ramos Quoirin, Humberto
Référence Calculus of variations and partial differential equations, 37, 3-4, page (523-546)
Publication Publié, 2010
Article révisé par les pairs
Résumé : Existence and multiplicity of non-negative solutions are investigated for the concave-convex type equation, where Ω is a bounded domain and 1 < r < p < q < p*. By minimization on the Nehari manifold, we find conditions on V, a, and b that yield up to four non-negative solutions when the left-hand side of the equation has a non-coercive behavior, a and b are sign-changing, and λ is positive and sufficiently small. © 2009 Springer-Verlag.