Existence of Solutions for a Sublinear System of Elliptic Equations

dc.contributor.authorCid, Carlos
dc.contributor.authorYarur, Cecilia S.
dc.date.accessioned2019-12-12T17:51:09Z
dc.date.available2019-12-12T17:51:09Z
dc.date.issued2000-05-09
dc.description.abstractWe study the existence of non-trivial non-negative solutions for the system -Δu = |x|α vp Δv = |x|b uq, where p and q are positive constants with pq < 1, and the domain is the unit ball of ℝN (N > 2) except for the center zero. We look for pairs of functions that satisfy the above system and Dirichlet boundary conditions set to zero. Our results also apply to some super-linear systems.
dc.description.departmentMathematics
dc.formatText
dc.format.extent11 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationCid, C., & Yarur, C. (2000). Existence of solutions for a sublinear system of elliptic equations. <i>Electronic Journal of Differential Equations, 2000</i>(33), pp. 1-11.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/9059
dc.language.isoen
dc.publisherSouthwest Texas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2000, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectSemilinear elliptic systems
dc.subjectSub-harmonic functions
dc.subjectSuper-harmonic functions
dc.titleExistence of Solutions for a Sublinear System of Elliptic Equationsen_US
dc.typeArticle

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