Korean J. Math. Vol. 26 No. 1 (2018) pp.9-21
DOI: https://doi.org/10.11568/kjm.2018.26.1.9

Elliptic boundary value problem with two singularities

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Published: Mar 30, 2018
Keywords:
Elliptic boundary value problem, Singular potential, variational reduction method
Mathematics Subject Classification:
35J50, 35J55

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Tacksun Jung
Department of Mathematics Kunsan National University Kunsan 573-701, Korea
Q-Heung Choi
Department of Mathematics Education Inha University Incheon 402-751, Korea

Abstract

We investigate existence and multiplicity of the solutions for elliptic boundary value problem with two singularities. We obtain one theorem which shows that there exists at least one nontrivial weak solution under some conditions on which the corresponding functional of the problem satisfies the Palais-Smale condition. We obtain this result by variational method and critical point theory.


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Supporting Agencies

Basic Science Research Program through the National Research Foundation of Korea(NRF) funded by the Ministry of Education Science and Technownology (2017R1D1A1B03030024) and by the Ministry of Science ICT and Future Planning (NRF-2017R1A2B4005883).

References

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