Mechanical interpretation of existence theorems in a nonlinear Dirichlet problem



Document title: Mechanical interpretation of existence theorems in a nonlinear Dirichlet problem
Journal: Ciencias matemáticas
Database: PERIÓDICA
System number: 000417640
ISSN: 0256-5374
Authors: 1
Institutions: 1Instituto de Cibernética, Matemática y Física, La Habana. Cuba
Year:
Volumen: 22
Number: 2
Pages: 107-115
Country: Cuba
Language: Inglés
Document type: Artículo
Approach: Teórico
English 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
Disciplines: Matemáticas,
Física y astronomía
Keyword: Matemáticas puras,
Mecánica,
Métodos cualitativos,
Fuerza,
Región,
Tiempo,
Requerimientos,
Teoremas
Keyword: Pure mathematics,
Mechanics,
Qualitative methods,
Force,
Region,
Time,
Requirements,
Theorems
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