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

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

128
views

37
downloads

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

Suggestions

OpenMETU
Core

Unpredictable solutions of linear differential and discrete equations Akhmet, Marat; Tleubergenova, Madina; Zhamanshin, Akylbek (2019-01-01) The existence and uniqueness of unpredictable solutions in the dynamics of nonhomogeneous linear systems of differential and discrete equations are investigated. The hyperbolic cases are under discussion. The presence of unpredictable solutions confirms the existence of Poincare chaos. Simulations illustrating the chaos are provided.
Bounded oscillation of nonlinear neutral differential equations of arbitrary order Yilmaz, YS; Zafer, Ağacık (2001-01-01) The paper is concerned with oscillation properties of n-th order neutral differential equations of the form
EXACT SPIN AND PSEUDO-SPIN SYMMETRIC SOLUTIONS OF THE DIRAC-KRATZER PROBLEM WITH A TENSOR POTENTIAL VIA LAPLACE TRANSFORM APPROACH Arda, Altug; Sever, Ramazan (2012-09-28) Exact bound state solutions of the Dirac equation for the Kratzer potential in the presence of a tensor potential are studied by using the Laplace transform approach for the cases of spin- and pseudo-spin symmetry. The energy spectrum is obtained in the closed form for the relativistic as well as non-relativistic cases including the Coulomb potential. It is seen that our analytical results are in agreement with the ones given in the literature. The numerical results are also given in a table for different p...
Oscillation of nonlinear elliptic inequalities with p(x)-Laplacian ŞAHİNER, YETER; Zafer, Ağacık (2013-04-01) Sufficient conditions are obtained for the oscillation of solutions of half-linear and super-half-linear elliptic inequalities with p(x)-Laplacian. The results obtained are new even for the one-dimensional case.
Oscillation criteria for even order neutral differential equations Zafer, Ağacık (1998-05-01) Oscillation criteria are given for even order neutral type differential equations of the following form

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.