Título inglés |
Periodic parabolic problems with nonlinearities indefinite in sign. |
Título español |
Problemas parabólicos periódicos con no linealidades indefinidas en el signo. |
Autor/es |
Godoy, Tomás ; Kaufmann, Uriel |
Organización |
Fac. Mat. Astron. Fís. Univ. Nac. Córdoba, Córdoba, Argentina |
Revista |
0214-1493 |
Publicación |
2007, 51 (1): 45-57, 20 Ref. |
Tipo de documento |
articulo |
Idioma |
Inglés |
Resumen inglés |
Let Ω Ì RN be a smooth bounded domain. We give sufficient conditions (which are also necessary in many cases) on two nonnegative functions a, b that are possibly discontinuous and
unbounded for the existence of nonnegative solutions for semilinear Dirichlet periodic parabolic problems of the form Lu =
λa (x, t) up - b (x, t) uq in Ω × R, where 0 < p, q < 1 and λ > 0. In some cases we also show the existence of solutions uλ in the
interior of the positive cone and that uλ can be chosen such that λ → uλ is differentiable and increasing. A uniqueness theorem is also given in the case p ≤ q. All results remain valid for the corresponding elliptic problems. |
Clasificación UNESCO |
120220 |
Palabras clave español |
Ecuaciones parabólicas ; Problemas de valor de frontera ; Problema de Dirichlet ; Teorema de existencia |
Código MathReviews |
MR2307146 |
Acceso al artículo completo |