Singular nonhomogeneous quasilinear elliptic equations with a convection term.
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Date
2017
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Abstract
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.
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Keywords
Positive solution, Sub-super solution
Citation
GONÇALVES, J. V. A.; MARCIAL M. R.; MIYAGAKI, O. H. Singular nonhomogeneous quasilinear elliptic equations with a convection term. Mathematische Nachrichten, v. 290, p. 2280-2295, 2017. Disponível em: <https://onlinelibrary.wiley.com/doi/full/10.1002/mana.201600091>. Acesso em: 19 mar. 2019.