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Minimax Theory and its Applications 06 (2021), No. 2, 321--340 Copyright Heldermann Verlag 2021 Existence of Bounded Solutions for some Quasilinear Degenerate Elliptic Systems Patrizia Di Gironimo Dipartimento di Matematica, Università di Salerno, Fisciano, Italy pdigironimo@unisa.it Francesco Leonetti DISIM, University of L'Aquila, 67100 L'Aquila, Italy leonetti@univaq.it Marta Macri Dip. di Ingegneria e Scienze dell'Informazione e Matematica, Università di L'Aquila, L'Aquila, Italy marta.macri@univaq.it Pier Vincenzo Petricca Via Sant'Amasio 18, 03039 Sora, Italy m.joshua1978@libero.it We prove the existence of a bounded solution to a quasilinear system of degenerate equations. The main assumption asks the off-diagonal coefficients to have a "butterfly" support. Keywords: Degenerate, elliptic, system, existence, bounded. MSC: 35J57, 35J62. [ Fulltext-pdf (147 KB)] for subscribers only. |