Asymptotics for quasilinear elliptic non-positone problems

Zuodong Yang, and Qishao Lu. "Asymptotics for quasilinear elliptic non-positone problems." Annales Polonici Mathematici 79.1 (2002): 85-95. <http://eudml.org/doc/281030>.

@article{ZuodongYang2002,
abstract = {In the recent years, many results have been established on positive solutions for boundary value problems of the form $-div(|∇u(x)|^\{p-2\} ∇u(x)) = λf(u(x))$ in Ω, u(x)=0 on ∂Ω, where λ > 0, Ω is a bounded smooth domain and f(s) ≥ 0 for s ≥ 0. In this paper, a priori estimates of positive radial solutions are presented when N > p > 1, Ω is an N-ball or an annulus and f ∈ C¹(0,∞) ∪ C⁰([0,∞)) with f(0) < 0 (non-positone).},
author = {Zuodong Yang, Qishao Lu},
journal = {Annales Polonici Mathematici},
keywords = {asymptotic estimates; positive radial solutions; nonlinear boundary value problems; -Laplacian},
language = {eng},
number = {1},
pages = {85-95},
title = {Asymptotics for quasilinear elliptic non-positone problems},
url = {http://eudml.org/doc/281030},
volume = {79},
year = {2002},
}

TY - JOUR
AU - Zuodong Yang
AU - Qishao Lu
TI - Asymptotics for quasilinear elliptic non-positone problems
JO - Annales Polonici Mathematici
PY - 2002
VL - 79
IS - 1
SP - 85
EP - 95
AB - In the recent years, many results have been established on positive solutions for boundary value problems of the form $-div(|∇u(x)|^{p-2} ∇u(x)) = λf(u(x))$ in Ω, u(x)=0 on ∂Ω, where λ > 0, Ω is a bounded smooth domain and f(s) ≥ 0 for s ≥ 0. In this paper, a priori estimates of positive radial solutions are presented when N > p > 1, Ω is an N-ball or an annulus and f ∈ C¹(0,∞) ∪ C⁰([0,∞)) with f(0) < 0 (non-positone).
LA - eng
KW - asymptotic estimates; positive radial solutions; nonlinear boundary value problems; -Laplacian
UR - http://eudml.org/doc/281030
ER -