The Fredholm alternative at the first eigenvalue for the one dimensional p-Laplacian

Journal of Differential Equations

Volumn 151, Issue 2, 1999, Pages 386-419

  Del Pino, Manuel ^a   Drábek, Pavel ^b   Manásevich, Raul ^a  

^a DEPARTAMENTO DE FÍSICA   (Chile)

^b UNIVERSITY OF WEST BOHEMIA   (Czech Republic)

Author keywords

Fredholm alternative; Leray Schauder degree; One dimensional p Laplacian; Refined asymptotics; Resonance; Upper and lower solutions

Indexed keywords

EID: 0033585277     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.1998.3506     Document Type: Article

References (11)

1. P. A. Binding, P. Drábek, Y. X. Huang, On the Fredholm alternative for thep, Proc. Amer. Math. Soc.
2. Binding P. A., Drábek P., Huang Y. X. On the range of thep. Appl. Math. Lett. 10:1997;77-82.
3. del Pino M. A., Manásevich R. F. Multiple solutions for thep. Proc. Amer. Math. Soc. 112:1991;131-138.
4. p uftuuuTp. J. Differential Equations. 80:1989;1-13.
5. Drábek P. Solvability and Bifurcations of Nonlinear Equations. Research Notes in Mathematics. 264:1992;Longman, Harlow.
6. P. Drábek, P. Takáč, A counterexample to the Fredholm alternative for thep.
7. Fleckinger J., Gossez Jacqueline J. P., Tackáč P., de Thélin F. Existence, nonexistence et principe de l'antimaximum pour lep. C. R. Acad. Sci. Paris. 321:1995;731-734.
8. Fleckinger J., Hernández J., Takáč P., de Thélin F. Uniqueness and positivity for solutions of equations with thep. Proceedings Conference on Reaction-Diffusion Equations, Trieste, Italy, October 1995. 1997;Dekker, New York/Basel.
9. Fučík S., Nečas J., Souček J., Souěk V. Spectral Analysis of Nonlinear Operators. Lecture Notes in Mathematics. 346:1973;Springer-Verlag, New York/Berlin/Heidelberg.
10. Lindqvist P. Some remarkable sine and cosine functions. Ricerche Mat. 44:1995;269-290.
11. Reichel W., Walter W. Radial solutions of equations and inequalities involving thep. J. Inequalities Appl. 1:1997;47-71.