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

Tacksun Jung, Q-Heung Choi

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.

Keywords


Elliptic boundary value problem; Singular potential; variational reduction method

Subject classification

35J50, 35J55

Sponsor(s)

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).

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References


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