CIEM 05476
CENTRO DE INVESTIGACION Y ESTUDIOS DE MATEMATICA
Unidad Ejecutora - UE
artículos
Título:
On Dirichlet problems with singular nonlinearity of indefinite sign
Autor/es:
GODOY, TOMÁS; KAUFMANN, URIEL
Revista:
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Editorial:
ACADEMIC PRESS INC ELSEVIER SCIENCE
Referencias:
Lugar: Amsterdam; Año: 2015 vol. 428 p. 1239 - 1251
ISSN:
0022-247X
Resumen:
Let Ω be a smooth bounded domain in R^{N}, N≥1, let K, M be two nonnegative functions and let α,γ>0. We study existence and nonexistence of positive solutions for singular problems of the form -Δu=K(x)u^{-α}-λM(x)u^{-γ} in Ω, u=0 on ∂Ω, where λ>0 is a real parameter. We mention that as a particular case our results apply to problems of the form -Δu=m(x)u^{-γ} in Ω, u=0 on ∂Ω, where m is allowed to change sign in Ω.
