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On semilinear elliptic equations with indefinite nonlinearities
journal contributionposted on 1992-01-01, 00:00 authored by Stanley Alama, Gabriella Tarantello
Abstract: "This paper concerns semilinear elliptic equations whose nonlinear term has the form W(x)f(u) where W changes sign. We study the existence of positive solutions and their multiplicity. The important role played by the negative part of W is contained in a condition which is shown to be necessary for homogeneous f. More general existence questions are also discussed."