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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Format: | Article |
Language: | English |
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Texas State University
2016-03-01
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Series: | Electronic Journal of Differential Equations |
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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. |
first_indexed | 2024-04-13T15:00:49Z |
format | Article |
id | doaj.art-1903a75a5b284c2eb692e68f98ac31b7 |
institution | Directory Open Access Journal |
issn | 1072-6691 |
language | English |
last_indexed | 2024-04-13T15:00:49Z |
publishDate | 2016-03-01 |
publisher | Texas State University |
record_format | Article |
series | Electronic Journal of Differential Equations |
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 |