Multiplicity of solutions for a singular p-laplacian elliptic equation

Wen-shu Zhou, and Xiao-dan Wei. "Multiplicity of solutions for a singular p-laplacian elliptic equation." Annales Polonici Mathematici 99.2 (2010): 157-180. <http://eudml.org/doc/280850>.

@article{Wen2010,
abstract = {The existence of two continuous solutions for a nonlinear singular elliptic equation with natural growth in the gradient is proved for the Dirichlet problem in the unit ball centered at the origin. The first continuous solution is positive and maximal; it is obtained via the regularization method. The second continuous solution is zero at the origin, and follows by considering the corresponding radial ODE and by sub-sup solutions method.},
author = {Wen-shu Zhou, Xiao-dan Wei},
journal = {Annales Polonici Mathematici},
keywords = {-Laplacian equation; singularity; natural growth; multiplicity},
language = {eng},
number = {2},
pages = {157-180},
title = {Multiplicity of solutions for a singular p-laplacian elliptic equation},
url = {http://eudml.org/doc/280850},
volume = {99},
year = {2010},
}

TY - JOUR
AU - Wen-shu Zhou
AU - Xiao-dan Wei
TI - Multiplicity of solutions for a singular p-laplacian elliptic equation
JO - Annales Polonici Mathematici
PY - 2010
VL - 99
IS - 2
SP - 157
EP - 180
AB - The existence of two continuous solutions for a nonlinear singular elliptic equation with natural growth in the gradient is proved for the Dirichlet problem in the unit ball centered at the origin. The first continuous solution is positive and maximal; it is obtained via the regularization method. The second continuous solution is zero at the origin, and follows by considering the corresponding radial ODE and by sub-sup solutions method.
LA - eng
KW - -Laplacian equation; singularity; natural growth; multiplicity
UR - http://eudml.org/doc/280850
ER -