Existence of Positive Bounded Solutions of Semilinear Elliptic Problems

Faten Toumi

International Journal of Differential Equations, 2010, vol. 2010, 1-10

Abstract:

This paper is concerned with the existence of bounded positive solution for the semilinear elliptic problem in subject to some Dirichlet conditions, where is a regular domain in   with compact boundary. The nonlinearity is nonnegative continuous and the potential belongs to some Kato class . So we prove the existence of a positive continuous solution depending on by the use of a potential theory approach.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijde:134078

DOI: 10.1155/2010/134078

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