Jinglong Ye, Jaffar Ali
Abstract:
We study the existence of positive solutions to 3X3 bi-variate
systems of reaction diffusion equations with Dirichlet boundary
conditions. In particular, we consider systems where the reaction
terms approach -infinity near the origin and satisfy some combined
sublinear conditions at infinity. We use the method of sub-super
solutions to establish our results.
Published March 21, 2016.
Math Subject Classifications: 35J25, 35J55.
Key Words: Infinite semipositone; elliptic systems; combined non-linear effect.
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Jinglong Ye Department of Mathematics Computer and Information Sciences Mississippi Valley State University Itta Bena, MS 38941, USA email: jinglong.ye@mvsu.edu |
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Jaffar Ali Department of Mathematics Florida Gulf Coast University Fort Myers, FL 33965, USA email: jahameed@fgcu.edu |
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