Geodesic
Singular solutions for the differential equation with $p$-Laplacian
Archivum mathematicum, Tome 41 (2005) no. 1, pp. 123-128
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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 $).
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 $).
Classification : 34C10, 34C15, 34D05
Keywords: singular solutions; noncontinuable solutions; second order equations 
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     author = {Bartu\v{s}ek, Miroslav},
     title = {Singular solutions for the differential equation with $p${-Laplacian}},
     journal = {Archivum mathematicum},
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Bartušek, Miroslav. Singular solutions for the differential equation with $p$-Laplacian. Archivum mathematicum, Tome 41 (2005) no. 1, pp. 123-128. http://geodesic.mathdoc.fr/item/ARM_2005_41_1_a10/

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