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.
Lingua originale | Inglese |
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pagine (da-a) | 285-318 |
Numero di pagine | 34 |
Rivista | Topological Methods in Nonlinear Analysis |
Volume | 28 |
Numero di pubblicazione | 2 |
Stato di pubblicazione | Pubblicato - 1 gen 2006 |
Keywords
- Dirichlet problem
- Radon measures
- critical point theory.