In this paper, we study existence and nonexistence of solutions for the Dirichlet problem associated with the equation -Delta u = g(x, u) + mu where mu is a Radon measure. Existence and nonexistence of solutions strictly depend on the nonlinearity g(x, u) and suitable growth restrictions are assumed on it. Our proofs are obtained by standard arguments front critical theory and in order to find solutions of the equation, suitable functionals are introduced by mean of approximation arguments and iterative schemes.
Ferrero, A., & Saccon, C. (2006). Existence and multiplicity results for semilinear equations with measure data. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 28(2), 285-318.
Citazione: | Ferrero, A., & Saccon, C. (2006). Existence and multiplicity results for semilinear equations with measure data. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 28(2), 285-318. | |
Tipo: | Articolo in rivista - Articolo scientifico | |
Carattere della pubblicazione: | Scientifica | |
Presenza di un coautore afferente ad Istituzioni straniere: | No | |
Titolo: | Existence and multiplicity results for semilinear equations with measure data | |
Autori: | Ferrero, A; Saccon, C | |
Autori: | ||
Data di pubblicazione: | 2006 | |
Lingua: | English | |
Rivista: | TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | |
Appare nelle tipologie: | 01 - Articolo su rivista |