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Article Contents

# On positive solutions of the elliptic sine-Gordon equation

• The aim of this paper is to study positive solutions of the elliptic sine-Gordon equation on a bounded domain with homogeneous Dirichlet boundary condition, which models the steady state of the Josephson $\pi-$junction in superconductivity. The properties of positive solutions are investigated theoretically and numerically.
Mathematics Subject Classification: Primary:35J20,58E05;Secondary:35Q20,65N30.

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