We study the existence of multiple solutions for a quasilinear elliptic system. Based on the Ambrosetti–Rabinowitz mountain-pass theorem and the Rabinowitz symmetric mountain-pass theorem, we establish several existence and multiplicity results for the solutions and G-symmetric solutions under certain suitable conditions.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 67, No. 6, pp. 788–808, June, 2015.
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Nyamoradi, N. Solutions of the Quasilinear Elliptic Systems with Combined Critical Sobolev–Hardy Terms. Ukr Math J 67, 891–915 (2015). https://doi.org/10.1007/s11253-015-1121-1
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DOI: https://doi.org/10.1007/s11253-015-1121-1