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Singular nonhomogeneous quasilinear elliptic equations with a convection term
Author(s) -
Gonçalves J. V.,
Marcial M. R.,
Miyagaki O. H.
Publication year - 2017
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.201600091
Subject(s) - mathematics , term (time) , nonlinear system , mathematical analysis , work (physics) , convection , class (philosophy) , fixed point theorem , sign (mathematics) , degree (music) , elliptic curve , singular point of a curve , physics , mechanics , quantum mechanics , artificial intelligence , computer science , acoustics , thermodynamics
In this work we establish existence results for a class of nonhomogeneous and singular quasilinear elliptic equations involving a convection term. The gradient term makes the problem non variational, and in addition to this difficulty we have to handle the singular term with a sign changing nonlinearity. The proof of the results are made combining the sub‐super solution method, fixed point theorem, Leray–Schauder degree theory and comparison theorems.