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.
2004
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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11590/119809
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