The spectrum of p-Laplacian systems with various boundary conditions and applications

Advances in Differential Equations

Volumn 5, Issue 10-12, 2000, Pages 1289-1318

  Manásevich, Raúl ^a   Mawhin, Jean ^b  

^a UNIVERSITY OF CHILE   (Chile)

^b UNIVERSITÉ CATHOLIQUE DE LOUVAIN   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038074554     PISSN: 10799389     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (16)

1. M. Cuesta, Etude de la résonance et du spectre de Fučik des opérateurs laplacien et p-laplacien, Ph.D. Thesis, Université de Bruxelles, 1993.
2. M. Del Pino, Sobre un problema cuasilineal de segundo orden, Mathematical Engineering Thesis, Univ. de Chile, Santiago, 1987.
3. p-2ú)́+f(t, u) = 0, u(0) = u(T) = 0, p>1, J. Differential Equations, 80(1989), 1-13.
4. M. Del Pino, R. Manásevich, and A. Murua, Existence and multiplicity of solutions with prescribed period for a second order quasilinear o.d.e., Nonlinear Analysis T.M.A., 18 (1992), 79-92
5. P. Drabek, Ranges of a-homogeneous operators and their perturbations, Časopis pest. mat. 105 (1980), 167-183
6. C. Fabry and D. Fayyad, Periodic solutions of second order differential equations with a p-Laplacian and asymmetric nonlinearities, Rend. Ist. Mat. Univ. Trieste, 24 (1992), 207-227.
7. Z. Guo, Boundary value problems of a class of quasilinear ordinary differential equations, Differential and Integral Equations, 6 (1993), 705-719.
8. Y.X. Huang and G. Metzen, The existence of solutions to a class of semilinear differential equations, Differential and Integral Equations 8 (1995), 429-452.
9. R. Manásevich and J. Mawhin, Periodic solutions for nonlinear systems with p-Laplacian like operators, J. Differential Equations 145 (1998), 367-393.
10. R. Manásevich, and J. Mawhin, Boundary value problems for nonlinear perturbations of vector p-Laplacian-like operators, to appear.
11. J. Mawhin, Probl'emes de Dirichlet variationnels non linéaires, Sémin. Math. Sup., Université de Montréal, 1987.
12. J. Mawhin, Periodic solutions of systems with p-Laplacian-like operators, Automn School on Nonlinear Analysis and Differential Equations, Lisbon, Portugal, 1998, to appear.
13. J. Mawhin and M. Willem, Critical Point Theory and Hamiltonian Systems, Springer, New York, 1989.
14. N. Rouche and J. Mawhin, Ordinary Differential Equations. Stability and Periodic Solutions, Pitman, Boston, 1983.
15. L. Véron, Premi'ere valeur propre non nulle du p-Laplacien et équations quasi linéaires elliptiques sur une variété riemannienne compacte, C.R. Acad. Sci. Paris, 314 (1992), 271-276
16. G. Villari, Soluzioni periodiche di una classe di equazioni differenziali del terz'ordine quasi lineari, Ann. Mat. Pura Appl., 73 (1966), 103-110.