Singular solutions for the differential equation with $p$-Laplacian

Bartušek, Miroslav. "Singular solutions for the differential equation with $p$-Laplacian." Archivum Mathematicum 041.1 (2005): 123-128. <http://eudml.org/doc/249494>.

@article{Bartušek2005,
abstract = {In the paper a sufficient condition for all solutions of the differential equation with $p$-Laplacian to be proper. Examples of super-half-linear and sub-half-linear equations $(|y^\{\prime \}|^\{p-1\} y^\{\prime \})^\{\prime \} + r(t) |y|^\lambda \operatorname\{sgn\}y = 0$, $r>0$ are given for which singular solutions exist (for any $p>0$, $\lambda > 0$, $p\ne \lambda $).},
author = {Bartušek, Miroslav},
journal = {Archivum Mathematicum},
keywords = {singular solutions; noncontinuable solutions; second order equations; singular solutions; noncontinuable solutions; second order equations},
language = {eng},
number = {1},
pages = {123-128},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Singular solutions for the differential equation with $p$-Laplacian},
url = {http://eudml.org/doc/249494},
volume = {041},
year = {2005},
}

TY - JOUR
AU - Bartušek, Miroslav
TI - Singular solutions for the differential equation with $p$-Laplacian
JO - Archivum Mathematicum
PY - 2005
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 041
IS - 1
SP - 123
EP - 128
AB - In the paper a sufficient condition for all solutions of the differential equation with $p$-Laplacian to be proper. Examples of super-half-linear and sub-half-linear equations $(|y^{\prime }|^{p-1} y^{\prime })^{\prime } + r(t) |y|^\lambda \operatorname{sgn}y = 0$, $r>0$ are given for which singular solutions exist (for any $p>0$, $\lambda > 0$, $p\ne \lambda $).
LA - eng
KW - singular solutions; noncontinuable solutions; second order equations; singular solutions; noncontinuable solutions; second order equations
UR - http://eudml.org/doc/249494
ER -