Singular solutions for the differential equation with $p$-Laplacian
Bartušek, Miroslav
Archivum Mathematicum, Tome 041 (2005), p. 123-128 / Harvested from Czech Digital Mathematics Library
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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 $).

Publié le : 2005-01-01
Classification:  34C10,  34C15,  34D05 
@article{107940,
     author = {Miroslav Bartu\v sek},
     title = {Singular solutions for the differential equation with $p$-Laplacian},
     journal = {Archivum Mathematicum},
     volume = {041},
     year = {2005},
     pages = {123-128},
     zbl = {1116.34325},
     mrnumber = {2142148},
     language = {en},
     url = {http://dml.mathdoc.fr/item/107940}
}

Bartušek, Miroslav. Singular solutions for the differential equation with $p$-Laplacian. Archivum Mathematicum, Tome 041 (2005) pp. 123-128. http://gdmltest.u-ga.fr/item/107940/

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