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Analysis and Computation of Solutions for a Class of Nonlinear SBVPs Arising in Epitaxial Growth
Version 1
: Received: 12 March 2021 / Approved: 16 March 2021 / Online: 16 March 2021 (11:50:07 CET)
A peer-reviewed article of this Preprint also exists.
Verma, A.K.; Pandit, B.; Agarwal, R.P. Analysis and Computation of Solutions for a Class of Nonlinear SBVPs Arising in Epitaxial Growth. Mathematics 2021, 9, 774. Verma, A.K.; Pandit, B.; Agarwal, R.P. Analysis and Computation of Solutions for a Class of Nonlinear SBVPs Arising in Epitaxial Growth. Mathematics 2021, 9, 774.
Abstract
In this work the existence and nonexistence of stationary radial solutions to the elliptic partial differential equation arising in the molecular beam epitaxy are studied. Since we are interested in radial solutions we arrive at the following fourth-order differential equation
Keywords
Radial solutions; singular boundary value problems; non-self-adjoint operator; Green’s function; lower solution; upper solution; iterative numerical approximations.
Subject
Computer Science and Mathematics, Algebra and Number Theory
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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