Mechanical interpretation of existence theorems in a nonlinear Dirichlet problem

Details Mechanical interpretation of existence theorems in a nonlinear Dirichlet problem Mechanical interpretation of existence theorems in a nonlinear Dirichlet problem

1997-01-29

arxiv.org/abs/physics/9701023v1

Physics

Classical Physics

13 pages, LaTeX, 7 figures not included, to appear in Ciencias Matematicas (Havana)

Scientific paper

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.

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