Mechanical interpretation of existence theorems in a nonlinear Dirichlet problem
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.
- Publication:
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arXiv e-prints
- Pub Date:
- January 1997
- DOI:
- 10.48550/arXiv.physics/9701023
- arXiv:
- arXiv:physics/9701023
- Bibcode:
- 1997physics...1023G
- Keywords:
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- Physics - Classical Physics
- E-Print:
- 13 pages, LaTeX, 7 figures not included, to appear in Ciencias Matematicas (Havana)