Abstract:
We study a Neumann problem for a nonlinear elliptic system. Unlike previous results in the literature of Landesman-Lazer type, our existence theorem allows rapid rotations on the nonlinear term. © 2013 Khayyam Publishing, Inc.
Registro:
Documento: |
Artículo
|
Título: | On resonant elliptic systems with rapidly rotating nonlinearities |
Autor: | Amster, P.; Clapp, M.; Haddad, J. |
Filiación: | Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina Instituto de Matemáticas, Universidad Nacional Autónoma de México Circuito Exterior, C.U., 04510 México D.F., Mexico
|
Año: | 2012
|
Volumen: | 25
|
Número: | 9-10
|
Página de inicio: | 869
|
Página de fin: | 882
|
Título revista: | Differential and Integral Equations
|
Título revista abreviado: | Differ. Integr. Equ.
|
ISSN: | 08934983
|
Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_08934983_v25_n9-10_p869_Amster |
Referencias:
- Amster, P., Clapp, M., Periodic solutions of resonant systems with rapidly rotating nonlinearities (2011) Discrete and Continuous Dynamical Systems, Series A, 3, pp. 373-383
- Amster, P., Maurette, M., An Elliptic Singular System with Nonlocal Boundary Conditions, , submitted
- Grisvard, P., (1985) Elliptic Problems in Nonsmooth Domains, , Pitman, Boston
- Mawhin, J., Topological degree methods in nonlinear boundary value problems (1977) Volume 40 of CBMS Regional Conference Series in Mathematics, pp. 9-15. , American Mathematical Society, Providence, R.I., 1979. Expository lectures from the CBMS Regional Conference held at Harvey Mudd College, Claremont, Calif
- Nirenberg, L., Generalized degree and nonlinear problems (1971) Contributions to Nonlinear Functional Analysis, pp. 1-9. , in (E.H. Zarantonello, ed.), Academic Press, New York
- Ortega, R., A counterexample for the damped pendulum equation (1987) Acad. Roy. Belg. Bull. Cl. Sci., 73, pp. 405-409
- Ortega, R., Sánchez, L., Periodic solutions of forced oscillators with several degrees of freedom (2002) Bull. London Math. Soc., 34, pp. 308-318
- Ortega, R., Serra, E., Tarallo, M., Non-continuation of the periodic oscillations of a forced pendulum in the presence of friction (2000) Proc. Amer. Math. Soc., 128, pp. 2659-2665
- Ruiz, D., Ward, J.R., Some notes on periodic systems with linear part at resonance (2004) Discrete and Continuous Dynamical Systems, 11 (2-3), pp. 337-350
Citas:
---------- APA ----------
Amster, P., Clapp, M. & Haddad, J.
(2012)
. On resonant elliptic systems with rapidly rotating nonlinearities. Differential and Integral Equations, 25(9-10), 869-882.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_08934983_v25_n9-10_p869_Amster [ ]
---------- CHICAGO ----------
Amster, P., Clapp, M., Haddad, J.
"On resonant elliptic systems with rapidly rotating nonlinearities"
. Differential and Integral Equations 25, no. 9-10
(2012) : 869-882.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_08934983_v25_n9-10_p869_Amster [ ]
---------- MLA ----------
Amster, P., Clapp, M., Haddad, J.
"On resonant elliptic systems with rapidly rotating nonlinearities"
. Differential and Integral Equations, vol. 25, no. 9-10, 2012, pp. 869-882.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_08934983_v25_n9-10_p869_Amster [ ]
---------- VANCOUVER ----------
Amster, P., Clapp, M., Haddad, J. On resonant elliptic systems with rapidly rotating nonlinearities. Differ. Integr. Equ. 2012;25(9-10):869-882.
Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_08934983_v25_n9-10_p869_Amster [ ]