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Note
A Note on Multiple Solutions of Some Semilinear Elliptic Problems*1
Received 15 August 1995.
Available online 16 April 2002.
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Abstract
We 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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