The equation -epsilon(2)Deltau + a(epsilon)(x)u = u(p-1) with boundary Dirichlet zero data is considered in an exterior domain Omega = R-N \ (ω) over bar (omega bounded and N greater than or equal to 2). Under the assumption that a(epsilon) greater than or equal to a(0) > 0 concentrates round a point of Omega as epsilon --> 0, that p > 2 and p < 2N/(N - 2) when N > 3, the existence of at least three positive distinct solutions is proved
Multiple positive solutions for singularly perturbed elliptic problems in exterior domains / Cerami, G.; Molle, R.. - In: ANNALES DE L INSTITUT HENRI POINCARÉ. ANALYSE NON LINÉAIRE. - ISSN 0294-1449. - STAMPA. - 20:5(2003), pp. 759-777. [10.1016/S0294-1449(02)00030-6]
Multiple positive solutions for singularly perturbed elliptic problems in exterior domains
Cerami, G.;
2003-01-01
Abstract
The equation -epsilon(2)Deltau + a(epsilon)(x)u = u(p-1) with boundary Dirichlet zero data is considered in an exterior domain Omega = R-N \ (ω) over bar (omega bounded and N greater than or equal to 2). Under the assumption that a(epsilon) greater than or equal to a(0) > 0 concentrates round a point of Omega as epsilon --> 0, that p > 2 and p < 2N/(N - 2) when N > 3, the existence of at least three positive distinct solutions is provedI documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
