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New Positive Solutions of Nonlinear Elliptic PDEs
Download
10.3390:app10144863.pdf
Date
2020-7-15
Author
Inc, Mustafa
Bouteraa, Noureddine
Akinlar, Mehmet Ali
Benaicha, Slimane
Chu, Yu-Ming
Weber, Gerhard-Wilhelm
Almohsen, Bandar
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We are concerned with positive solutions of two types of nonlinear elliptic boundary value problems (BVPs). We present conditions for existence, uniqueness and multiple positive solutions of a first type of elliptic BVPs. For a second type of elliptic BVPs, we obtain conditions for existence and uniqueness of positive global solutions. We employ mathematical tools including strictly upper (SU) and strictly lower (SL) solutions, iterative sequence method and Amann theorem. We present our research findings in new original theorems. Finally, we summarize and indicate areas of future study and possible applications of the research work.
Subject Keywords
Positive (global) solution
,
(Strict) upper and lower solutions
,
Multiplicity of positive solutions
,
Elliptic BVPs
URI
https://hdl.handle.net/11511/51446
Journal
Applied Sciences
DOI
https://doi.org/10.3390/app10144863
Collections
Graduate School of Applied Mathematics, Article
Citation Formats
IEEE
ACM
APA
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MLA
BibTeX
M. Inc et al., “New Positive Solutions of Nonlinear Elliptic PDEs,”
Applied Sciences
, vol. 10, no. 14, 2020, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/51446.