Existence and multiplicity results for semilinear equations with measure data
Słowa kluczowe
Dirichlet problem, Radon measures, critical point theoryAbstrakt
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 from critical theory and in order to find solutions of the equation, suitable functionals are introduced by mean of approximation arguments and iterative schemes.Pobrania
Opublikowane
2006-12-01
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1.
FERRERO, Alberto & SACCON, Claudio. Existence and multiplicity results for semilinear equations with measure data. Topological Methods in Nonlinear Analysis [online]. 1 grudzień 2006, T. 28, nr 2, s. 285–318. [udostępniono 22.7.2024].
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