Geodesic
A singular ODE related to quasilinear elliptic equations
Electronic Journal of Differential Equations, Tome 2000 (2000).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We consider a quasilinear elliptic problem with the natural growth in the gradient. Existence, non-existence, uniqueness, and qualitative properties of positive solutions are obtained. We consider both weak and strong solutions. All results are based on the study of a suitable singular ODE of the first order. We also introduce a comparison principle for a class of nonlinear integral operators of Volterra type that enables to obtain uniqueness of weak solutions of the quasilinear equation.
Classification : 35J60, 35B65, 34C10
Keywords: p-Laplacian, spherically symmetric, existence, non-existence, uniqueness, comparison principle, singular ODE, regularity 
@article{EJDE_2000__2000__a10,
     author = {Korkut, Luka and Pa\v{s}i\'c, Mervan and \v{Z}ubrini\'c},
     title = {A singular {ODE} related to quasilinear elliptic equations},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2000},
     year = {2000},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2000__2000__a10/}
}
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Korkut, Luka; Pašić, Mervan; Žubrinić. A singular ODE related to quasilinear elliptic equations. Electronic Journal of Differential Equations, Tome 2000 (2000). http://geodesic.mathdoc.fr/item/EJDE_2000__2000__a10/