Positive Solutions for the Generalized Nonlinear Logistic Equations
Canadian mathematical bulletin, Tome 59 (2016) no. 1, pp. 73-86
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We consider a nonlinear parametric elliptic equation driven by a nonhomogeneous differential operator with a logistic reaction of the superdiffusive type. Using variational methods coupled with suitable truncation and comparison techniques, we prove a bifurcation type result describing the set of positive solutions as the parameter varies.
Mots-clés :
35J25, 35J92, positive solution, bifurcation type result, strong comparison principle, nonlinear regularity, nonlinear maximum principle
Gasiński, Leszek; Papageorgiou, Nikolaos S. Positive Solutions for the Generalized Nonlinear Logistic Equations. Canadian mathematical bulletin, Tome 59 (2016) no. 1, pp. 73-86. doi: 10.4153/CMB-2015-064-8
@article{10_4153_CMB_2015_064_8,
author = {Gasi\'nski, Leszek and Papageorgiou, Nikolaos S.},
title = {Positive {Solutions} for the {Generalized} {Nonlinear} {Logistic} {Equations}},
journal = {Canadian mathematical bulletin},
pages = {73--86},
year = {2016},
volume = {59},
number = {1},
doi = {10.4153/CMB-2015-064-8},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2015-064-8/}
}
TY - JOUR AU - Gasiński, Leszek AU - Papageorgiou, Nikolaos S. TI - Positive Solutions for the Generalized Nonlinear Logistic Equations JO - Canadian mathematical bulletin PY - 2016 SP - 73 EP - 86 VL - 59 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2015-064-8/ DO - 10.4153/CMB-2015-064-8 ID - 10_4153_CMB_2015_064_8 ER -
%0 Journal Article %A Gasiński, Leszek %A Papageorgiou, Nikolaos S. %T Positive Solutions for the Generalized Nonlinear Logistic Equations %J Canadian mathematical bulletin %D 2016 %P 73-86 %V 59 %N 1 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2015-064-8/ %R 10.4153/CMB-2015-064-8 %F 10_4153_CMB_2015_064_8
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