Remote Access Transactions of the American Mathematical Society
Green Open Access

Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



On a semilinear elliptic Neumann problem with asymmetric nonlinearities

Authors: J.-P. Gossez and P. Omari
Journal: Trans. Amer. Math. Soc. 347 (1995), 2553-2562
MSC: Primary 35J65
MathSciNet review: 1285991
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: We consider the Neumann problem (1.1) below. We extend the range of applicability of the sharp nonresonance condition derived in [Go-Om] so as, in particular, allow asymmetric nonlinearities.

References [Enhancements On Off] (What's this?)

  • [Co-Ol] D. Costa and A. Oliveira, Existence of solutions for a class of semilinear elliptic problems at double resonance, Bol. Soc. Brasil. Mat. 19 (1988), 21-37. MR 1018926 (91c:35057)
  • [DF-Go] D. De Figueiredo and J.-P. Gossez, On the first curve of the Fučik spectrum of an elliptic operator, Differential Integral Equations 7 (1994), 1285-1302. MR 1269657 (95b:35158)
  • [DS-Om] D. Del Santo and P. Omari, Nonresonance conditions on the potential for a semilinear elliptic problem, J. Differential Equations 108 (1994), 120-138. MR 1268354 (95b:35067)
  • [Go-Om] J.-P. Gossez and P. Omari, A necessary and sufficient condition of nonresonance for a semilinear Neumann problem, Proc. Amer. Math. Soc. 114 (1992), 433-442. MR 1091181 (92e:35071)
  • [H-O-Z] P. Habets, P. Omari, and F. Zanolin, Nonresonance conditions on the potential with respect to the Fučik spectrum for the periodic boundary value problem, Rocky Mountain J. Math. (to appear). MR 1371341 (97g:34035)

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 35J65

Retrieve articles in all journals with MSC: 35J65

Additional Information

Article copyright: © Copyright 1995 American Mathematical Society

American Mathematical Society