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  Far East Journal of Dynamical Systems  
 ISSN: 0972-1118
 
 
 

     Far East Journal of Dynamical Systems
    Volume 11, Issue 2, Pages 227 - 236 (June 2009)


ON THE NEGATIVE SOLUTION OF A CLASS OF p-LAPLACIAN BVP WITH NEUMANN-ROBIN CONDITIONS

M. Khaleghy Moghaddam (Iran) and G. A. Afrouzi (Iran)

Received July 19, 2008; Revised September 16, 2008

References:



[1] I. Addou and A. Benmezaï, Boundary-value problems for the one-dimensional p-Laplacian with even superlinearity, Electron. J. Differential Equations 1999 (1999), No. 9, 29 pp. (electronic).

[2] A. G. Afrouzi and M. Khaleghy Moghaddam, Existence and multiplicity results for a class of p-Laplacian problems with Neumann-Robin boundary condition, Chaos Solitons Fractals 30(4) (2006), 967-973.

[3] F. Ammar-Khodja, Une revue et quelques compléments sur la détermination du nombre des solutions de certains problèmes elliptiques semi-linéaires, Thèse Doctorat 3è Cycle, Université Pierre et Marie Curie, Paris VI, 1983.

[4] V. Anuradha, C. Maya and R. Shivaji, Positive solutions for a class of nonlinear boundary value problems with Neumann-Robin boundary conditions, J. Math. Anal. Appl. 236 (1999), 94-124.

[5] A. Lakmeche and A. Hammoudi, Multiple positive solutions of the one dimensional p-Laplacian, J. Math. Anal. Appl. 317 (2006), 43-49.

[6] A. R. Miciano and R. Shivaji, Multiple positive solutions for a class of semipositone Neumann two point boundary value problems, J. Math. Anal. Appl. 178 (1993), 102-115.

Keywords and phrases: existence solutions, interior critical points, quadrature method, Neumann-Robin boundary condition, p-Laplacian problem.

 


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