The existence of a positive and a negative solution of the problem of the type −∆u+f(x,u,∇u) = 0 in Ω, u = 0 on ∂Ω is proved, when f has a growth at infinity depending both on u and on ∇u. The techniques are based on an iterative scheme of Mountain–pass “approximated” solutions and the use of a suitable truncature method.
Girardi, M., Matzeu, M. (2004). Positive and negative solutions of a quasi-linear elliptic equation by a mountain pass method and truncature techniques. NONLINEAR ANALYSIS, 59, n.1-2, 199-210.
Positive and negative solutions of a quasi-linear elliptic equation by a mountain pass method and truncature techniques
GIRARDI, Mario;
2004-01-01
Abstract
The existence of a positive and a negative solution of the problem of the type −∆u+f(x,u,∇u) = 0 in Ω, u = 0 on ∂Ω is proved, when f has a growth at infinity depending both on u and on ∇u. The techniques are based on an iterative scheme of Mountain–pass “approximated” solutions and the use of a suitable truncature method.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
