Mechanical interpretation of existence theorems in a nonlinear Dirichlet problem
Classical Physics
2015-04-28 v1
Abstract
The existence of radial solutions of a nonlinear Dirichlet problem in a ball is translated to the language of Mechanics, i.e. to requirements on the time of motion of a particle in an external potential and under the action of a viscosity force. This approach reproduces existing theorems and, in principle, provides a method for the analysis of the general case. Examples of new theorems are given, which prove the usefulness of this qualitative method.
Cite
@article{arxiv.physics/9701023,
title = {Mechanical interpretation of existence theorems in a nonlinear Dirichlet problem},
author = {Augusto Gonzalez},
journal= {arXiv preprint arXiv:physics/9701023},
year = {2015}
}
Comments
13 pages, LaTeX, 7 figures not included, to appear in Ciencias Matematicas (Havana)