Positive solutions for one-dimensional singular p-Laplacian boundary value problems

Huijuan Song, Jingxue Yin, and Rui Huang. "Positive solutions for one-dimensional singular p-Laplacian boundary value problems." Annales Polonici Mathematici 105.2 (2012): 125-144. <http://eudml.org/doc/280294>.

@article{HuijuanSong2012,
abstract = {We consider the existence of positive solutions of the equation $1/λ(t) (λ(t)φ_p(x^\{\prime \}(t)))^\{\prime \} + μf(t,x(t),x^\{\prime \}(t)) =0$, where $φ_p(s) = |s|^\{p-2\}s$, p > 1, subject to some singular Sturm-Liouville boundary conditions. Using the Krasnosel’skiĭ fixed point theorem for operators on cones, we prove the existence of positive solutions under some structure conditions.},
author = {Huijuan Song, Jingxue Yin, Rui Huang},
journal = {Annales Polonici Mathematici},
keywords = {-Laplacian; positive solution; Sturm-Liouville boundary conditions; fixed point theorem},
language = {eng},
number = {2},
pages = {125-144},
title = {Positive solutions for one-dimensional singular p-Laplacian boundary value problems},
url = {http://eudml.org/doc/280294},
volume = {105},
year = {2012},
}

TY - JOUR
AU - Huijuan Song
AU - Jingxue Yin
AU - Rui Huang
TI - Positive solutions for one-dimensional singular p-Laplacian boundary value problems
JO - Annales Polonici Mathematici
PY - 2012
VL - 105
IS - 2
SP - 125
EP - 144
AB - We consider the existence of positive solutions of the equation $1/λ(t) (λ(t)φ_p(x^{\prime }(t)))^{\prime } + μf(t,x(t),x^{\prime }(t)) =0$, where $φ_p(s) = |s|^{p-2}s$, p > 1, subject to some singular Sturm-Liouville boundary conditions. Using the Krasnosel’skiĭ fixed point theorem for operators on cones, we prove the existence of positive solutions under some structure conditions.
LA - eng
KW - -Laplacian; positive solution; Sturm-Liouville boundary conditions; fixed point theorem
UR - http://eudml.org/doc/280294
ER -