Three solutions for a mixed boundary value problem involving the one-dimensional p-Laplacian

Journal of Mathematical Analysis and Applications

Volumn 298, Issue 1, 2004, Pages 245-260

  Averna, Diego ^a   Salvati, Roberta ^b  

^a UNIVERSITY OF PALERMO   (Italy)

^b UNIVERSITY OF MESSINA   (Italy)

Author keywords

Critical points; Mixed boundary value problem; Three solutions

Indexed keywords

EID: 4544311865     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmaa.2004.05.012     Document Type: Article

References (10)

1. Agarwal R.P. O'Regan D. Wong P.J.Y. Positive Solutions of Differential, Difference and Integral Equations 1999 Kluwer Academic Dordrecht
2. Averna D. Bonanno G. A three critical points theorem and its applications to the ordinary Dirichlet problem Topol. Methods Nonlinear Anal. 22 2003 93-104
3. Averna D. Bonanno G. Three solutions for a quasilinear two point boundary value problem involving the one-dimensional p-Laplacian Proc. Edinburgh Math. Soc. 47 2004 in press
4. D.Averna, G.Bonanno, Three solutions for a Neumann boundary value problem involving the p-Laplacian, preprint
5. Avery R.I. Chyan C.J. Henderson J. Twin solutions of boundary value problems for ordinary differential equations and finite difference equations Comput. Math. Appl. 42 2001 695-704
6. Bonanno G. A minimax inequality and its applications to ordinary differential equations J. Math. Anal. Appl. 270 2002 210-229
7. Lü H. O'Regan D. Zhong C. Multiple positive solutions for the one-dimensional singular p-Laplacian Appl. Math. Comput. 133 2002 407-422
8. Ricceri B. On a three critical points theorem Arch. Math. (Basel) 75 2000 220-226
9. Salvati R. Multiple solutions for a mixed boundary value problem Math. Sci. Res. J. 7 2003 275-283
10. Zeidler E. Nonlinear Functional Analysis and Its Applications, vol. II/B 1990 Springer Berlin