Comptes Rendus
no. 4
Ordinary differential equations/Partial differential equations
Blow-up solutions for a general class of the second-order differential equations on the half line
[Solutions non bornées d'une classe générale d'équations différentielles du second ordre sur la demi-droite]

Présenté par : the Editorial Board

Angelo R.F. de Holanda1
1 Universidade Federal de Campina Grande, Unidade Acadêmica de Matemática, CEP:58109-970, Campina Grande - PB, Brazil
Comptes Rendus. Mathématique, Volume 355 (2017) no. 4, pp. 426-431.

Nous étudions dans ce texte l'existence de solutions positives, non bornées, pour une classe générale d'équations et systèmes différentiels du second ordre. Il s'agit de solutions à symétrie radiale, positives, de maints problèmes elliptiques dans RN. Pour obtenir ces solutions, nous passons par des arguments de point fixe pour des opérateurs intégraux adéquats.

In this paper, we study the existence of positive blow-up solutions for a general class of the second-order differential equations and systems, which are positive radially symmetric solutions to many elliptic problems in RN. We explore fixed point arguments applied to suitable integral equations to get solutions.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2017.03.003
Angelo R.F. de Holanda 1

1 Universidade Federal de Campina Grande, Unidade Acadêmica de Matemática, CEP:58109-970, Campina Grande - PB, Brazil 
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     title = {Blow-up solutions for a general class of the second-order differential equations on the half line},
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Angelo R.F. de Holanda. Blow-up solutions for a general class of the second-order differential equations on the half line. Comptes Rendus. Mathématique, Volume 355 (2017) no. 4, pp. 426-431. doi : 10.1016/j.crma.2017.03.003. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2017.03.003/

[1] D.-P. Covei A necessary and sufficient condition for the existence of the positive radial solutions to Hessian equations and systems with weights, Acta Math. Sci., Volume 37B (2017) no. 1, pp. 47-57

[2] N. Fukagai; K. Narukawa On the existence of multiple positive solutions of quasilinear elliptic eigenvalue problems, Ann. Math., Volume 186 (2007), pp. 539-564

[3] T. Kusano; C. Swanson Existence theorems for elliptic Monge–Ampère equations in the plane, Differ. Integral Equ., Volume 3 (1990), pp. 487-493

[4] Z. Zhang Existence of positive radial solutions for quasilinear elliptic equations and systems, Electron. J. Differ. Equ., Volume 50 (2016), pp. 1-9

[5] Z. Zhang; S. Zhou Existence of entire positive k-convex solutions to Hessian equations and systems with weights, Appl. Math. Lett., Volume 50 (2015), pp. 48-55

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