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- W2024369008 abstract "By combining the method of upper and lower solution and monotone iteration with variational in¬equality techniques a constructive existence result for elliptic BVPs with discontinuous nonlinearity is proved. The discontinuous nonlinearity f: R → R is supposed to admit a decomposition of the form f = g − h with functions g,h: R → R that are non-decreasing and in general discontinuous as well. Thus we are able to deal with nonlinearities f that may have jumps in both directions upward and downward which generalizes recent results e.g. of Ambrosetti and Turner [2], Ambrosetti and Badiale [3], Heikkila [17] and the author [8]" @default.
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- W2024369008 date "1992-01-01" @default.
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- W2024369008 title "A combined variational–monotone iterative method for elliptic boundary value problems with discontinuous nonlinearity" @default.
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- W2024369008 doi "https://doi.org/10.1080/00036819208840050" @default.
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