Positive solutions to a non-homogeneous elliptic system of fourth order

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Abstract

In this work, the existence of positive solutions to a non-linear elliptic system of fourth order with positive parameters is studied. We establish an existence of an interval of parameters such the system has at least two positive solutions. The behaviour of energy corresponding to these positive solutions, with respect to the real parameters is proved.

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Talbi, M., Hssini, E. M., Massar, M., & Tsouli, N. (2018). Positive solutions to a non-homogeneous elliptic system of fourth order. In International Journal of Dynamical Systems and Differential Equations (Vol. 8, pp. 48–65). Inderscience Publishers. https://doi.org/10.1504/IJDSDE.2018.10009158

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