Positive solutions of inequality with $p$-Laplacian in exterior domains

Mařík, Robert. "Positive solutions of inequality with $p$-Laplacian in exterior domains." Mathematica Bohemica 127.4 (2002): 597-604. <http://eudml.org/doc/249025>.

@article{Mařík2002,
abstract = {In the paper the differential inequality \[\Delta \_p u+B(x,u)\le 0,\] where $\Delta _p u=\operatorname\{div\}(\Vert \nabla u\Vert ^\{p-2\}\nabla u)$, $p>1$, $B(x,u)\in C(\mathbb \{R\}^\{n\}\times \mathbb \{R\},\mathbb \{R\})$ is studied. Sufficient conditions on the function $B(x,u)$ are established, which guarantee nonexistence of an eventually positive solution. The generalized Riccati transformation is the main tool.},
author = {Mařík, Robert},
journal = {Mathematica Bohemica},
keywords = {$p$-Laplacian; oscillation criteria; -Laplacian; oscillation criteria},
language = {eng},
number = {4},
pages = {597-604},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Positive solutions of inequality with $p$-Laplacian in exterior domains},
url = {http://eudml.org/doc/249025},
volume = {127},
year = {2002},
}

TY - JOUR
AU - Mařík, Robert
TI - Positive solutions of inequality with $p$-Laplacian in exterior domains
JO - Mathematica Bohemica
PY - 2002
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 127
IS - 4
SP - 597
EP - 604
AB - In the paper the differential inequality \[\Delta _p u+B(x,u)\le 0,\] where $\Delta _p u=\operatorname{div}(\Vert \nabla u\Vert ^{p-2}\nabla u)$, $p>1$, $B(x,u)\in C(\mathbb {R}^{n}\times \mathbb {R},\mathbb {R})$ is studied. Sufficient conditions on the function $B(x,u)$ are established, which guarantee nonexistence of an eventually positive solution. The generalized Riccati transformation is the main tool.
LA - eng
KW - $p$-Laplacian; oscillation criteria; -Laplacian; oscillation criteria
UR - http://eudml.org/doc/249025
ER -