Lower and upper solutions to semilinear boundary value problems: an abstract approach
Słowa kluczowe
Lower and upper solutions, maximum principle, semilinear equations, parabolic and elliptic problemsAbstrakt
We provide an abstract setting for the theory of lower and upper solutions to some semilinear boundary value problems. In doing so, we need to introduce an abstract formulation of the Strong Maximum Principle. We thus obtain a general version of some existence results, both in the case where the lower and upper solutions are well-ordered, and in the case where they are not so. Applications are given, e.g. to boundary value problems associated to parabolic equations, as well as to elliptic equations.Pobrania
Opublikowane
2011-04-23
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1.
FONDA, Alessandro & TOADER, Rodica. Lower and upper solutions to semilinear boundary value problems: an abstract approach. Topological Methods in Nonlinear Analysis [online]. 23 kwiecień 2011, T. 38, nr 1, s. 59–93. [udostępniono 20.9.2024].
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