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Quasilinear elliptic system in exterior domains with dependence on the gradient
Author(s) -
Faria Luiz F. O.,
Miyagaki Olímpio H.,
Pereira Fábio R.
Publication year - 2014
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201100006
Subject(s) - mathematics , a priori and a posteriori , sign (mathematics) , domain (mathematical analysis) , mathematical analysis , boundary (topology) , argument (complex analysis) , elliptic curve , coupling (piping) , mechanical engineering , philosophy , biochemistry , chemistry , epistemology , engineering
In this paper, we deal with a quasilinear elliptic system in exterior domains with dependence on the gradient and coupling of the equations not only inside of the domain, but also on the boundary. We prove the existence of positive, negative or sign changing weak solutions. Our approach relies on an aproximation argument and an adequate elliptic “a priori” estimate.