dorsal/arxiv
View SchemaMechanical interpretation of existence theorems in a nonlinear Dirichlet problem
| Authors | Augusto Gonzalez |
|---|---|
| Categories | |
| ArXiv ID | physics/9701023 |
| URL | https://arxiv.org/abs/physics/9701023 |
| Journal | Rev. Cub. Fis. 24 (2007) 144-149 |
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.
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"abstract": "The existence of radial solutions of a nonlinear Dirichlet problem in a ball\nis translated to the language of Mechanics, i.e. to requirements on the time of\nmotion of a particle in an external potential and under the action of a\nviscosity force. This approach reproduces existing theorems and, in principle,\nprovides a method for the analysis of the general case. Examples of new\ntheorems are given, which prove the usefulness of this qualitative method.",
"arxiv_id": "physics/9701023",
"authors": [
"Augusto Gonzalez"
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"journal_ref": "Rev. Cub. Fis. 24 (2007) 144-149",
"title": "Mechanical interpretation of existence theorems in a nonlinear Dirichlet problem",
"url": "https://arxiv.org/abs/physics/9701023"
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