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Exact multiplicity of solutions to perturbed logistic type equations on a symmetric domain

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Abstract

We apply the imperfect bifurcation theory in Banach spaces to study the exact multiplicity of solutions to a perturbed logistic type equations on a symmetric spatial domain. We obtain the precise bifurcation diagrams.

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Correspondence to YuWen Wang.

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This work was supported by the National Natural Science Foundation of China (Grant No. 10671049), Longjiang Scholar Grant, Science Research Fund of the Education Department of Heilongjiang Province (Grant No. 11531246) and Harbin Normal University Academic Backbone of Youth Project

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Liu, P., Shi, J. & Wang, Y. Exact multiplicity of solutions to perturbed logistic type equations on a symmetric domain. Sci. China Ser. A-Math. 51, 1753–1762 (2008). https://doi.org/10.1007/s11425-008-0101-4

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  • DOI: https://doi.org/10.1007/s11425-008-0101-4

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