An elliptic semilinear equation with source term involving boundary measures: the subcritical case

Authors
Bidaut-Veron, MF Vivier, L
Citation
Mf. Bidaut-veron et L. Vivier, An elliptic semilinear equation with source term involving boundary measures: the subcritical case, REV MAT IBE, 16(3), 2000, pp. 477-513
Citations number
31
Categorie Soggetti
Mathematics
Journal title
REVISTA MATEMATICA IBEROAMERICANA
ISSN journal
02132230 → ACNP
Volume
16
Issue
3
Year of publication
2000
Pages
477 - 513
Database
ISI
SICI code
0213-2230(2000)16:3<477:AESEWS>2.0.ZU;2-7
Abstract
We study the boundary behaviour of the nonnegative solutions of the semilin ear elliptic equation in a bounded regular domain Omega of R-N (N greater t han or equal to 2), [GRAPHICS] where 1 < q < (N + 1)/(N - 1) and mu is a Radon measure on partial derivati ve Omega. We give a priori estimates and existence results. They lie on the study of the superharmonic functions in some weighted Marcinkiewicz spaces .