Abstract
We address the problem of relative stability of the d-wave and extended s-wave superconductivity in the two-dimensional Hubbard model. The Coulomb correlations are taken into account in the two-pole version of the mean-field-like approximation for the auxiliary boson fields. The d-wave superconductivity is more likely to occur for small hole concentrations but for some particular region of parameters the competition between two types of symmetry and cross-over behavior is possible. We discuss the relevance of our model calculations to the theory of high-temperature superconductors.
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