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:

arXiv eprints
 Pub Date:
 January 1997
 DOI:
 10.48550/arXiv.physics/9701023
 arXiv:
 arXiv:physics/9701023
 Bibcode:
 1997physics...1023G
 Keywords:

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