3.—A Criterion for the Existence of Solutions of Non-linear Elliptic Boundary Value Problems

Johanna Deuel

Proceedings of the Royal Society of Edinburgh Section A Mathematics · 1976 · 108 citations · 4 references

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Abstract

Synopsis By a new method it is proved that a non-linear elliptic boundary value problem of rather general type admits a weak solution lying between a given weak lower solution ϕ and a given weak upper solution ψ≧ϕ

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