Positive solutions for 3X3 elliptic bi-variate infinite semipositone systems with combined nonlinear effects

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. W...

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Main Authors: Jinglong Ye, Jaffar Ali
Format: Article
Language:English
Published: Texas State University 2016-03-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/conf-proc/23/y1/abstr.html
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author Jinglong Ye
Jaffar Ali
author_facet Jinglong Ye
Jaffar Ali
author_sort Jinglong Ye
collection DOAJ
description 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.
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spelling doaj.art-1903a75a5b284c2eb692e68f98ac31b72022-12-22T02:42:17ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912016-03-01201623189194Positive solutions for 3X3 elliptic bi-variate infinite semipositone systems with combined nonlinear effectsJinglong Ye0Jaffar Ali1 Mississippi Valley State Univ., Itta Bena, MS, USA Florida Gulf Coast Univ., Fort Myers, FL, USA 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.http://ejde.math.txstate.edu/conf-proc/23/y1/abstr.htmlInfinite semipositoneelliptic systemscombined non-linear effect
spellingShingle Jinglong Ye
Jaffar Ali
Positive solutions for 3X3 elliptic bi-variate infinite semipositone systems with combined nonlinear effects
Electronic Journal of Differential Equations
Infinite semipositone
elliptic systems
combined non-linear effect
title Positive solutions for 3X3 elliptic bi-variate infinite semipositone systems with combined nonlinear effects
title_full Positive solutions for 3X3 elliptic bi-variate infinite semipositone systems with combined nonlinear effects
title_fullStr Positive solutions for 3X3 elliptic bi-variate infinite semipositone systems with combined nonlinear effects
title_full_unstemmed Positive solutions for 3X3 elliptic bi-variate infinite semipositone systems with combined nonlinear effects
title_short Positive solutions for 3X3 elliptic bi-variate infinite semipositone systems with combined nonlinear effects
title_sort positive solutions for 3x3 elliptic bi variate infinite semipositone systems with combined nonlinear effects
topic Infinite semipositone
elliptic systems
combined non-linear effect
url http://ejde.math.txstate.edu/conf-proc/23/y1/abstr.html
work_keys_str_mv AT jinglongye positivesolutionsfor3x3ellipticbivariateinfinitesemipositonesystemswithcombinednonlineareffects
AT jaffarali positivesolutionsfor3x3ellipticbivariateinfinitesemipositonesystemswithcombinednonlineareffects