A note on nonexistence of radial solutions to semilinear elliptic inequations.

Guedda, Mohammed. "A note on nonexistence of radial solutions to semilinear elliptic inequations.." Publicacions Matemàtiques 46.1 (2002): 139-151. <http://eudml.org/doc/41447>.

@article{Guedda2002,
abstract = {We study the nonexistence result of radial solutions to -Δu + c u/(|x|2) + |x|σ|u|qu ≤ 0 posed in B or in B \{0\} where B is the unit ball centered at the origin in RN, N ≥ 3. Moreover, we give a complete classification of radial solutions to the problem -Δu + c u/(|x|2) + |x|σ|u|qu = 0. In particular we prove that the latter has exactly one family of radial solutions.},
author = {Guedda, Mohammed},
journal = {Publicacions Matemàtiques},
keywords = {Ecuaciones diferenciales elípticas; Inecuaciones; Teorema de existencia; Radial solution; existence; blow up; classification; elliptic inequality},
language = {eng},
number = {1},
pages = {139-151},
title = {A note on nonexistence of radial solutions to semilinear elliptic inequations.},
url = {http://eudml.org/doc/41447},
volume = {46},
year = {2002},
}

TY - JOUR
AU - Guedda, Mohammed
TI - A note on nonexistence of radial solutions to semilinear elliptic inequations.
JO - Publicacions Matemàtiques
PY - 2002
VL - 46
IS - 1
SP - 139
EP - 151
AB - We study the nonexistence result of radial solutions to -Δu + c u/(|x|2) + |x|σ|u|qu ≤ 0 posed in B or in B {0} where B is the unit ball centered at the origin in RN, N ≥ 3. Moreover, we give a complete classification of radial solutions to the problem -Δu + c u/(|x|2) + |x|σ|u|qu = 0. In particular we prove that the latter has exactly one family of radial solutions.
LA - eng
KW - Ecuaciones diferenciales elípticas; Inecuaciones; Teorema de existencia; Radial solution; existence; blow up; classification; elliptic inequality
UR - http://eudml.org/doc/41447
ER -