Korean J. Math. Vol. 25 No. 4 (2017) pp.495-511
DOI: https://doi.org/10.11568/kjm.2017.25.4.495

Multiplicity of solutions of elliptic system using two critical point theorem

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Published: Dec 30, 2017
Keywords:
Elliptic system, Two critical point theroem
Mathematics Subject Classification:
35J55, 49J35

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Hyewon Nam
Department of General Education Namseoul University Cheonan 31020, Korea

Abstract

In this paper, we consider the system of three elliptic equations using two critical point 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.


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Supporting Agencies

Funding for this paper was provided by Namseoul University year 2017.

References

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