Decaying positive solutions of some quasilinear differential equations

Tadie. "Decaying positive solutions of some quasilinear differential equations." Commentationes Mathematicae Universitatis Carolinae 39.1 (1998): 39-47. <http://eudml.org/doc/248235>.

@article{Tadie1998,
abstract = {The existence of decaying positive solutions in $\{\mathbb \{R\}\}_+$ of the equations $(E_\lambda )$ and $(E_\lambda ^1)$ displayed below is considered. From the existence of such solutions for the subhomogeneous cases (i.e. $t^\{1-p\} F(r,tU,t|U^\{\prime \}|) \searrow 0$ as $t \nearrow \infty $), a super-sub-solutions method (see § 2.2) enables us to obtain existence theorems for more general cases.},
author = {Tadie},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {quasilinear elliptic; integral operators; fixed points theory; -Laplacian; radial solution; decaying positive solution; super-sub-solution method},
language = {eng},
number = {1},
pages = {39-47},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Decaying positive solutions of some quasilinear differential equations},
url = {http://eudml.org/doc/248235},
volume = {39},
year = {1998},
}

TY - JOUR
AU - Tadie
TI - Decaying positive solutions of some quasilinear differential equations
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1998
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 39
IS - 1
SP - 39
EP - 47
AB - The existence of decaying positive solutions in ${\mathbb {R}}_+$ of the equations $(E_\lambda )$ and $(E_\lambda ^1)$ displayed below is considered. From the existence of such solutions for the subhomogeneous cases (i.e. $t^{1-p} F(r,tU,t|U^{\prime }|) \searrow 0$ as $t \nearrow \infty $), a super-sub-solutions method (see § 2.2) enables us to obtain existence theorems for more general cases.
LA - eng
KW - quasilinear elliptic; integral operators; fixed points theory; -Laplacian; radial solution; decaying positive solution; super-sub-solution method
UR - http://eudml.org/doc/248235
ER -

References

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Yin Xi Huang, Decaying positive entire solutions of the p-Laplacian, Czech. Math. J. 45 no. 120 (1995), 205-220. (1995) MR1331458

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