Revista Integración, temas de matemáticas.
Vol. 37 Núm. 1 (2019): Revista Integración, temas de matemáticas
Artículo Original

Una ecuación elíptica con potencial aleatorio y no linealidad supercrítica

L. Cioletti
Universidade de Brasília, Departamento de Matemática, Brasília, Brazil
L. C. F. Ferreira
Universidade Estadual de Campinas, IMECC - Departamento de Matemática, Campinas, Brazil.
M. Furtado
Universidade de Brasília, Departamento de Matemática, Brasília, Brazil.

Publicado 2019-02-19

Palabras clave

  • Ecuaciones elípticas,
  • potenciales aleatorios,
  • ecuaciones no lineales aleatorias

Cómo citar

Cioletti, L., Ferreira, L. C. F., & Furtado, M. (2019). Una ecuación elíptica con potencial aleatorio y no linealidad supercrítica. Revista Integración, Temas De matemáticas, 37(1), 1–16. https://doi.org/10.18273/revint.v37n1-2019001

Resumen

Estamos interesados en una ecuación elíptica no homogénea con potencial aleatorio y no linealidad supercrítica. Obtenemos la existencia de solución casi seguramente para una clase de potenciales que incluye continuos y discretos. Además, proporcionamos una ley de grandes números para las soluciones obtenidas por conjuntos independientes y estimamos el valor esperado para sus normas L∞.

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