Small perturbations of an indefinite elliptic equation |
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| Authors: | Humberto Ramos Quoirin |
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| Affiliation: | Universidad de Santiago de Chile, Santiago, Chile |
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| Abstract: | We investigate a perturbed semilinear indefinite elliptic equation and show that the results known for the unperturbed equation still hold if the perturbation is sufficiently small. To this end, we use a continuity argument that allows us to establish the existence of two positive solutions even in the case where the strong maximum principle does not apply. |
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| Keywords: | Indefinite elliptic problem nonhomogeneous nonlinearity variational methods 35J20 35J62 35J92 |
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