Abstract.
We proved a multiplicity result for a nonlinear elliptic system in R N. The functional related to the system is strongly indefinite. We investigated the relation between the number of solutions and the topology of the set of the global maxima of the coefficients.
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Ávila, A.I., Yang, J. Multiple solutions of nonlinear elliptic systems. Nonlinear differ. equ. appl. 12, 459–479 (2006). https://doi.org/10.1007/s00030-005-0022-7
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DOI: https://doi.org/10.1007/s00030-005-0022-7