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Positive solutions for semilinear elliptic systems with sign-changing potentials Cover

Positive solutions for semilinear elliptic systems with sign-changing potentials

Open Access
|Sep 2017

References

  1. [1] I. Bachar, H. Mâagli, N. Zeddini, Estimates on the Green function and existence of positive solutions of nonlinear singular elliptic equations, Com- mun. Contemp. Math. 5(3) (2003) 401-434.10.1142/S0219199703001038
  2. [2] Ruipeng Chen, Existence of positive solutions for semilinear elliptic systems with indefinite weight, Electronic Journal of Differential Equations. 164 (2011) 1-8.
  3. [3] K.L. Chung, Z. Zhao, From Brownian motion to Schrodinger's equation, Springer Verlag 1995.10.1007/978-3-642-57856-4
  4. [4] R. Dalmasso, Existence and uniqueness of positive solutions of semilinear elliptic systems, Nonlinear Anal. 39 (2000), 559-568.10.1016/S0362-546X(98)00221-1
  5. [5] D. G. de Figueiredo, J. Marcos do O, B. Ruf, An Orlicz space approach to superlinear elliptic systems, J. Func. Anal. 224 (2005), pp. 471-496.10.1016/j.jfa.2004.09.008
  6. [6] A. Ghanmi, H. M^aagli, V. S. Turki, N. Zeddini, Existence of positive bounded solutions for some nonlinear elliptic systems, J. Math. Anal. Appl. 352(2009) 440-448.10.1016/j.jmaa.2008.04.029
  7. [7] D. Hulshof, R. Van der Vorst, Differential systems with strongly indefinite variational structure, J. Func. Anal. 114 (1993), pp. 32-58.10.1006/jfan.1993.1062
  8. [8] J. Tyagi, Existence of non-negative solutions for predator-prey elliptic systems with a sign-changing nonlinearity, Electronic Journal of Differential Equations. 153 (2011) 1-9.
  9. [9] H. Mâagli, M. Zribi, On a new Kato class and singular solutions of a nonlinear elliptic equation in bounded domains, Positivity, 9 (2005) 667-686.10.1007/s11117-005-2782-z
  10. [10] D. D. Hai, Positive solutions of elliptic boundary value problems, J. Math. Anal. Appl, 227 (1998), 195-199.10.1006/jmaa.1998.6095
DOI: https://doi.org/10.1515/auom-2016-0023 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784
Language: English
Page range: 383 - 390
Submitted on: Jan 24, 2014
Accepted on: Mar 9, 2014
Published on: Sep 21, 2017
Published by: Ovidius University of Constanta
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year

© 2017 Noureddine Zeddini, Adel Ben Dkhil, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.