Comptes Rendus
Ordinary differential equations/Partial differential equations
On an elliptic equation of p-Kirchhoff type with convection term
Comptes Rendus. Mathématique, Volume 354 (2016) no. 3, pp. 253-256.

Dans ce travail, on utilise la méthode de Galerkin avec une estimation a priori pour montrer l'existence de solutions à une classe de problèmes elliptiques, donnée par un système d'équations non linéaires de type p-Kirchhoff en présence d'un terme de gradient.

In this paper, by using Galerkin's approach with a priori estimates, we establish the existence of solutions to a class of elliptic problems given by a system of nonlinear equations of p-Kirchhoff type with a convection term.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2015.10.025
Anass Ourraoui 1

1 University Mohamed I, ENSAH, Department of Mathematics, Oujda, Morocco
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Anass Ourraoui. On an elliptic equation of p-Kirchhoff type with convection term. Comptes Rendus. Mathématique, Volume 354 (2016) no. 3, pp. 253-256. doi : 10.1016/j.crma.2015.10.025. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2015.10.025/

[1] C.O. Alves; Francisco Julio S.A. Correa A sub-supersolution approach for a quasilinear Kirchhoff equation, J. Math. Phys., Volume 56 (2015)

[2] S. Aouaoui On some nonlocal problem involving the N-Laplacian in RN, Nonlinear Stud., Volume 22 (2015) no. 1, pp. 57-70

[3] G. Autuori; A. Fiscella; P. Pucci Stationary Kirchhoff problems involving a fractional operator and a critical nonlinearity, Nonlinear Anal., Volume 125 (2015), pp. 699-714

[4] X. Cheng; G. Dai Positive solutions for p-Kirchhoff type problems on RN, Math. Methods Appl. Sci., Volume 38 (2015) no. 12, pp. 2650-2662

[5] L.F.O. Faria; O.H. Miyagaki; F.R. Pereira Existence results for quasilinear elliptic exterior problems involving convection term and nonlinear Robin boundary conditions, J. Math. Anal. Appl., Volume 368 (2010), pp. 578-586

[6] M.G. Figueiredo Existence of a positive solution for a Kirchhoff problem type with critical growth via truncation argument, J. Math. Anal. Appl., Volume 401 (2013), pp. 706-713

[7] G.M. Figueiredo; Jefferson A. Santos On a Φ-Kirchhoff multivalued problem with critical growth in an Orlicz–Sobolev space, Asymptot. Anal., Volume 89 (2014) no. 1–2, pp. 151-172

[8] S. Kesavan Topics in Functional Analysis and Applications, John Wiley & Sons, New York, 1989

[9] G. Kirchhoff Mechanik, Teubner, Leipzig, Germany, 1883

[10] J. Liu, J.F. Liao, C.-L. Tang, Positive solutions for Kirchhoff-type equations with critical exponent in RN, J. Math. Anal. Appl 429 (2), 1153–1172.

[11] A. Ourraoui, On a class of nonlocal problem involving a critical exponent, preprint, 2015.

[12] P. Pucci; S. Saldi Critical stationary Kirchhoff equations in RN involving nonlocal operators, Rev. Mat. Iberoam. (2016) (23 pp., in press)

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