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.

Existence and multiplicity results for semilinear equations with measure data

FERRERO, ALBERTO;
2006

Abstract

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.
Articolo in rivista - Articolo scientifico
Nonlinear Analysis, Topological Methods
English
2006
28
2
285
318
none
Ferrero, A., Saccon, C. (2006). Existence and multiplicity results for semilinear equations with measure data. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 28(2), 285-318.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/11545
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