The existence of a positive and a negative solution of a problem of the type - Deltau + f(x, u, delu) = 0 in Q. u = 0 on deltaOmega is proved, when f has a growth at infinity depending both on u and on delu. The techniques are based on an iterative scheme of Mountain Pass "approximated" solutions and the use of a suitable truncature method. (C) 2004 Elsevier Ltd. All rights reserved.
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, 199-210 [10.1016/j.na.2004.04.014].
Positive and negative solutions of a quasi-linear elliptic equation by a Mountain Pass method and truncature techniques
MATZEU, MICHELE
2004-01-01
Abstract
The existence of a positive and a negative solution of a problem of the type - Deltau + f(x, u, delu) = 0 in Q. u = 0 on deltaOmega is proved, when f has a growth at infinity depending both on u and on delu. The techniques are based on an iterative scheme of Mountain Pass "approximated" solutions and the use of a suitable truncature method. (C) 2004 Elsevier Ltd. All rights reserved.File in questo prodotto:
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