Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

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.

Journal reference: Mathematics 2021, 9, 774
DOI: 10.3390/math9070774

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

Subject Areas

Radial solutions; singular boundary value problems; non-self-adjoint operator; Green’s function; lower solution; upper solution; iterative numerical approximations.

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