Existence and multiplicity results for semilinear equations with measure data
Keywords
Dirichlet problem, Radon measures, critical point theoryAbstract
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.Downloads
Published
2006-12-01
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1.
FERRERO, Alberto and SACCON, Claudio. Existence and multiplicity results for semilinear equations with measure data. Topological Methods in Nonlinear Analysis. Online. 1 December 2006. Vol. 28, no. 2, pp. 285 - 318. [Accessed 25 April 2024].
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