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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 [ ]