The resonance elliptic boundary value problem with discontinuous nonlinearity of linear growth
Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 12 (2010), pp. 43-48
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We prove the existence of general solution of the resonance elliptic boundary
value problem with discontinuous nonlinearity of linear growth by topological method.
Keywords:
resonance elliptic boundary value problem, discontinuous
nonlinearity of linear growth, Leray-Schauder theorem.
@article{VCHGU_2010_12_a4,
author = {V. N. Pavlenko},
title = {The resonance elliptic boundary value problem with discontinuous nonlinearity of linear growth},
journal = {Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika},
pages = {43--48},
publisher = {mathdoc},
number = {12},
year = {2010},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VCHGU_2010_12_a4/}
}
TY - JOUR AU - V. N. Pavlenko TI - The resonance elliptic boundary value problem with discontinuous nonlinearity of linear growth JO - Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika PY - 2010 SP - 43 EP - 48 IS - 12 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VCHGU_2010_12_a4/ LA - ru ID - VCHGU_2010_12_a4 ER -
%0 Journal Article %A V. N. Pavlenko %T The resonance elliptic boundary value problem with discontinuous nonlinearity of linear growth %J Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika %D 2010 %P 43-48 %N 12 %I mathdoc %U http://geodesic.mathdoc.fr/item/VCHGU_2010_12_a4/ %G ru %F VCHGU_2010_12_a4
V. N. Pavlenko. The resonance elliptic boundary value problem with discontinuous nonlinearity of linear growth. Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 12 (2010), pp. 43-48. http://geodesic.mathdoc.fr/item/VCHGU_2010_12_a4/