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.
@article{urn:eudml:doc:41447,
title = {A note on nonexistence of radial solutions to semilinear elliptic inequations.},
journal = {Publicacions Matem\`atiques},
volume = {46},
year = {2002},
pages = {139-151},
mrnumber = {MR1904860},
zbl = {1091.35027},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41447}
}
Guedda, Mohammed. A note on nonexistence of radial solutions to semilinear elliptic inequations.. Publicacions Matemàtiques, Tome 46 (2002) pp. 139-151. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41447/