Abstract
This paper concerns semilinear elliptic equations whose nonlinear term has the formW(x)f(u) whereW changes sign. We study the existence of positive solutions and their multiplicity. The important role played by the negative part ofW is contained in a condition which is shown to be necessary for homogeneousf. More general existence questions are also discussed.
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Supported in part by NSF grant DMS9003149.
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Alama, S., Tarantello, G. On semilinear elliptic equations with indefinite nonlinearities. Calc. Var 1, 439–475 (1993). https://doi.org/10.1007/BF01206962
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DOI: https://doi.org/10.1007/BF01206962