New Positive Solutions of Nonlinear Elliptic PDEs

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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

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Citation Formats

M. Inc et al., “New Positive Solutions of Nonlinear Elliptic PDEs,” Applied Sciences, 2020, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/51446.