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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.

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