Multiple solutions for a discrete boundary value problem involving the p-Laplacian

Computers and Mathematics with Applications

Volumn 56, Issue 4, 2008, Pages 959-964

  Candito, Pasquale ^a   Giovannelli, Nicola ^b  

^a UNIVERSITY MEDITERRANEA OF REGGIO CALABRIA   (Italy)

^b UNIVERSITY OF PALERMO   (Italy)

Author keywords

Critical points theory; Difference equations; Discrete boundary value problems; Multiple solutions; p Laplacian

Indexed keywords

BOUNDARY VALUE PROBLEMS; DIFFERENTIAL EQUATIONS; EQUATIONS OF STATE; INITIAL VALUE PROBLEMS; LAPLACE TRANSFORMS;

BOUNDARY VALUES; CRITICAL-POINT THEORY; ELSEVIER (CO); MULTIPLE SOLUTIONS; P (X)-LAPLACIAN; PROBLEM INVOLVING;

BOUNDARY CONDITIONS;

EID: 46249126941     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2008.01.025     Document Type: Article

References (6)

1. Agarwal R.P., Perera K., and O'Regan D. Multiple positive solutions of singular discrete p-Laplacian problems via variational methods. Adv. Difference Equations 2 (2005) 93-99
2. Agarwal R.P., Perera K., and O'Regan D. Multiple positive solutions of singular and nonsingular discrete problems via variational methods. Nonlinear Anal. 58 (2004) 69-73
3. Averna D., and Bonanno G. A three critical points theorem and its applications to the ordinary Dirichlet problem. Topol. Methods Nonlinear Anal. 22 (2003) 93-103
4. Agarwal R.P., O'Regan D., and Wong P.J.Y. Positive Solutions of Differential, Difference and Integral Equations (1999), Kluwer Academic Publishers, Dordrecht
5. Bai D., and Xu Y. Nontrivial solutions of boundary value problems of second-order difference equations. J. Math. Anal. Appl. 326 (2007) 297-302
6. Jiang D., Chu J., O'Regan D., and Agarwal R.P. Positive solutions for continuous and discrete boundary value problems to the one-dimensional p-Laplacian. Math. Inequal. Appl. 7 (2004) 523-534