Artículos de revistas
Multiple positive solutions for quasilinear problems with indefinite sublinear nonlinearity
Registro en:
Nonlinear Analysis-theory Methods & Applications. Pergamon-elsevier Science Ltd, v. 71, n. 41732, n. 1108, n. 1115, 2009.
0362-546X
WOS:000266699600040
10.1016/j.na.2008.11.034
Autor
de Paiva, FO
Institución
Resumen
We have established multiplicity of nontrivial solutions for the quasilinear elliptic problem -Delta(p)u = h(x)u(alpha-1) + g(x, u) in Omega u >= 0 in Omega, u = 0 on partial derivative Omega where Omega subset of R(N) smooth bounded domain, p > 1, 1 <= alpha < p, h is a measurable function, and g : Omega x R(+) is a Caratheodory function such that g(x, 0) = 0, which is asymptotically linear. We also prove existence and nonexistence results when g(x, t) = k(x)t(p-1). (C) 2008 Elsevier Ltd. All rights reserved. 71 41732 1108 1115