Upper-lower solutions for nonlinear parabolic systems and their applications

DOI10.1016/j.jmaa.2011.01.003zbMath1237.35091OpenAlexW2088168633MaRDI QIDQ633669

Inkyung Ahn, Mufid Abudiab, Lige Li

Publication date: 29 March 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.01.003

zbMATH Keywords

positive solutionsreaction-diffusion systemsnonlinear boundary conditionsnonlinear parabolic systemsnon-quasi-monotonicity

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Positive solutions to PDEs (35B09)

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Cites Work

• Semigroups of linear operators and applications to partial differential equations
• A model of primary HIV-1 infection
• A theorem on upper-lower solutions for nonlinear elliptic systems and its applications
• On the dirichlet problem for elliptic systems
• Nonlinear elliptic boundary-value problems in unbounded domains
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