journal article
oaidoi:10.1006/jmaa.1997.5471

A Note on Multiple Solutions of Some Semilinear Elliptic Problems

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Publication date
15 July 1997
Publisher
Academic Press.
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    Abstract

    AbstractWe discuss the existence of multiple solutions of nonlinear elliptic equations by a combination of variational, topological methods and the generalized Conley index theory. We obtain several positive solutions and sign-changing solutions. Our main point is to show the usefulness of the Morse inequalities for Morse decompositions in the generalized Conley index theory

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