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  • 1 Departamento de Matemática, Universidade Federal da Paraíba, 58059-900 João Pessoa–PB, Brazil
  • | 2 Faculty of Mathematics and Computer Science, University of Lodz, Banacha 22, 90-238 Lodz, Poland
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Abstract

We investigate the existence and properties of solutions for a class of systems of Dirichlet problems involving the perturbed phi-Laplace operators. We apply variational methods associated with the Fenchel conjugate. Our results cover both sublinear and superlinear cases of nonlinearities.

  • [1] Ahammou, A. 2001 Positive radial solutions of nonlinear elliptic systems New York J. Math. 7 267280.

  • [2] Bechah, A. 2001 Local and global estimates for solutions of systems involving the p-Laplacian in unbounded domains Electronic J. Diff. Equations 19 114.

    • Search Google Scholar
    • Export Citation
  • [3] Ó do, J. M., Lorca, S., Ubilla, P. 2005 Multiparameter elliptic equations in annular domains Progress in Nonlinear Differential Equations and Their Applications 66 233246 .

    • Crossref
    • Search Google Scholar
    • Export Citation
  • [4] Ó do, J. M., Lorca, S., Ubilla, P. 2005 Local superlinearity for elliptic systems involving parameters J. Diff. Eq. 211 119 .

  • [5] Ó do, J. M., Lorca, S., Sanchez, J., Ubilla, P. 2006 Non-homogeneous elliptic equations in exterior domains Proc. Royal Soc. Edinburgh 136 139147 .

    • Crossref
    • Search Google Scholar
    • Export Citation
  • [6] Ó do, J. M., Lorca, S., Sanchez, J., Ubilla, P. 2007 Positive solutions for a class of multiparameter ordinary elliptic systems J. Math. Anal. App. 332 12491266 .

    • Crossref
    • Search Google Scholar
    • Export Citation
  • [7] Ekeland, I., Temam, R. 1976 Convex Analysis and Variational Problems North-Holland Amsterdam.

  • [8] Galewski, M., Orpel, A. 2008 On the existence and stability of solutions for a system of elliptic equations Mediterr. J. Math. 5 187198 .

  • [9] Khalil, A. E., Ouanan, M., Touzani, A. 2003 Existence and regularity of positive solutions for an elliptic system Electronic J. Diff. Equations 9 171182.

    • Search Google Scholar
    • Export Citation
  • [10] Orpel, A. 2009 Nonlinear BVP’s with functional parameters J. Differential Eqns. 246 15001522 .

  • [11] Jibaio, Zhong, Zuchi, Chen 2002 Existence and uniqueness of positive solutions to a class of semilinear elliptic systems Acta Mathematica Scientia 22 B 451458.

    • Search Google Scholar
    • Export Citation

Acta Mathematica Hungarica
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HU–1364 Budapest
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  • Impact Factor (2019): 0.588
  • Scimago Journal Rank (2019): 0.489
  • SJR Hirsch-Index (2019): 38
  • SJR Quartile Score (2019): Q2 Mathematics (miscellaneous)
  • Impact Factor (2018): 0.538
  • Scimago Journal Rank (2018): 0.488
  • SJR Hirsch-Index (2018): 36
  • SJR Quartile Score (2018): Q2 Mathematics (miscellaneous)

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Acta Mathematica Hungarica
Language English
Size B5
Year of
Foundation
1950
Volumes
per Year
3
Issues
per Year
6
Founder Magyar Tudományos Akadémia
Founder's
Address
H-1051 Budapest, Hungary, Széchenyi István tér 9.
Publisher Akadémiai Kiadó
Springer Nature Switzerland AG
Publisher's
Address
H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible
Publisher
Chief Executive Officer, Akadémiai Kiadó
ISSN 0236-5294 (Print)
ISSN 1588-2632 (Online)

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