Korean Journal of Mathematics
- Volume 16 Issue 4
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- Pages.511-526
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- 2008
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- 1976-8605(pISSN)
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- 2288-1433(eISSN)
MULTIPLICITY RESULTS FOR THE ELLIPTIC SYSTEM USING THE MINIMAX THEOREM
- Nam, Hyewon (Department of General Education Namseoul University)
- Received : 2008.10.13
- Published : 2008.12.01
Abstract
In this paper, we consider an elliptic system of three equations using the minimax theorem. We prove the existence of two solutions for suitable forcing terms, under a condition on the linear part which prevents resonance with eigenvalues of the operator.