Positive solutions and global bifurcation of strongly coupled elliptic systems

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dc.contributor.author Tyagi, Jagmohan
dc.date.accessioned 2014-03-18T17:18:57Z
dc.date.available 2014-03-18T17:18:57Z
dc.date.issued 2013
dc.identifier.citation Tyagi, Jagmohan, “Positive solutions and global bifurcation of strongly coupled elliptic systems”, Electronic Journal of Differential Equations, vol. 2013, 2013. en_US
dc.identifier.issn 1072-6691
dc.identifier.uri https://repository.iitgn.ac.in/handle/123456789/907
dc.description.abstract In this article, we study the existence of positive solutions for the coupled elliptic system -Δu = λ (f(u; v) + h1(x)) in Ω -Δv = λ (g(u; v) + h2(x)) in Ω u = v = 0 on ∂Ω; under certain conditions on f; g and allowing h1; h2 to be singular. We also consider the system -Δu = λ (a(x)u + b(x)v + f1(v) + f2(u)) in Ω -Δu = λ (b(x)u + c(x)v + g1(u) + g2(v)) in Ω; u = v = 0 on ∂Ω; and prove a Rabinowitz global bifurcation type theorem to this system. ©2013 Texas State University - San Marcos. en_US
dc.description.statementofresponsibility by Jagmohan Tyagi
dc.format.extent Vol. 2013
dc.language.iso en en_US
dc.publisher Texas State University, Department of Mathematics en_US
dc.subject Bifurcation en_US
dc.subject Elliptic system en_US
dc.subject Positive solutions en_US
dc.title Positive solutions and global bifurcation of strongly coupled elliptic systems en_US
dc.type Article en_US
dc.relation.journal Electronic Journal of Differential Equations


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