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

Bidaut-Véron, Marie Françoise, and Vivier, Laurent. "An elliptic semilinear equation with source term involving boundary measures: the subcritical case.." Revista Matemática Iberoamericana 16.3 (2000): 477-513. <http://eudml.org/doc/39613>.

@article{Bidaut2000,
abstract = {We study the boundary behaviour of the nonnegative solutions of the semilinear elliptic equation in a bounded regular domain Ω of RN (N ≥ 2),⎧   Δu + uq = 0,   in Ω⎨⎩   u = μ,      on ∂Ωwhere 1 &lt; q &lt; (N + 1)/(N - 1) and μ is a Radon measure on ∂Ω. We give a priori estimates and existence results. The lie on the study of superharmonic functions in some weighted Marcinkiewicz spaces.},
author = {Bidaut-Véron, Marie Françoise, Vivier, Laurent},
journal = {Revista Matemática Iberoamericana},
keywords = {Problema elíptico; Medida de Radón; superharmonic functions; integral representation},
language = {eng},
number = {3},
pages = {477-513},
title = {An elliptic semilinear equation with source term involving boundary measures: the subcritical case.},
url = {http://eudml.org/doc/39613},
volume = {16},
year = {2000},
}

TY - JOUR
AU - Bidaut-Véron, Marie Françoise
AU - Vivier, Laurent
TI - An elliptic semilinear equation with source term involving boundary measures: the subcritical case.
JO - Revista Matemática Iberoamericana
PY - 2000
VL - 16
IS - 3
SP - 477
EP - 513
AB - We study the boundary behaviour of the nonnegative solutions of the semilinear elliptic equation in a bounded regular domain Ω of RN (N ≥ 2),⎧   Δu + uq = 0,   in Ω⎨⎩   u = μ,      on ∂Ωwhere 1 &lt; q &lt; (N + 1)/(N - 1) and μ is a Radon measure on ∂Ω. We give a priori estimates and existence results. The lie on the study of superharmonic functions in some weighted Marcinkiewicz spaces.
LA - eng
KW - Problema elíptico; Medida de Radón; superharmonic functions; integral representation
UR - http://eudml.org/doc/39613
ER -