In this paper, we study existence and nonexistence of solutions for the Dirichlet problem associated with the equation −∆u = g(x, u) + μ where μ 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 from critical theory and in order to find solutions of the equation, suitable functionals are introduced by mean of approximation arguments and iterative schemes.
Existence and Multiplicity Results for Semilinear Equations with Measure Data
SACCON, CLAUDIO
2006-01-01
Abstract
In this paper, we study existence and nonexistence of solutions for the Dirichlet problem associated with the equation −∆u = g(x, u) + μ where μ 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 from critical theory and in order to find solutions of the equation, suitable functionals are introduced by mean of approximation arguments and iterative schemes.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.