Existence Results for Singular Anisotropic Elliptic Boundary-value Problems

 dc.contributor.author Kim, Eun Heui dc.date.accessioned 2019-12-18T20:38:41Z dc.date.available 2019-12-18T20:38:41Z dc.date.issued 2000-02-29 dc.description.abstract We establish the existence of a positive solution for anisotropic singular quasilinear elliptic boundary-value problems. As an example of the problems studied we have uα uxx+ ub uyy + λ (u + 1)α+r = 0 with zero Dirichlet boundary condition, on a bounded convex domain in ℝ2. Here 0 ≤ b ≤ α, and λ, r are positive constants. When 0 < r < 1 (sublinear case), for each positive λ there exists a positive solution. On the other hand when r > 1 (superlinear case), there exists a positive constant λ* such that for λ in (0, λ*) there exists a positive solution, and for λ* < λ there is no positive solution. dc.description.department Mathematics dc.format Text dc.format.extent 17 pages dc.format.medium 1 file (.pdf) dc.identifier.citation Kim, E. H. (2000). Existence results for singular anisotropic elliptic boundary-value problems. Electronic Journal of Differential Equations, 2000(17), pp. 1-17. dc.identifier.issn 1072-6691 dc.identifier.uri https://hdl.handle.net/10877/9117 dc.language.iso en dc.publisher Southwest Texas State University, Department of Mathematics dc.rights Attribution 4.0 International dc.rights.holder This work is licensed under a Creative Commons Attribution 4.0 International License. dc.rights.uri https://creativecommons.org/licenses/by/4.0/ dc.source Electronic Journal of Differential Equations, 2000, San Marcos, Texas: Southwest Texas State University and University of North Texas. dc.subject Anisotropic dc.subject Singular dc.subject Sublinear dc.subject Superlinear dc.subject Elliptic boundary-value problems dc.title Existence Results for Singular Anisotropic Elliptic Boundary-value Problems dc.type Article

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