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Transactions of the American Mathematical Society

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

 

 

Nonlinear second order elliptic partial differential equations at resonance


Authors: R. Iannacci, M. N. Nkashama and J. R. Ward
Journal: Trans. Amer. Math. Soc. 311 (1989), 711-726
MSC: Primary 35J65
DOI: https://doi.org/10.1090/S0002-9947-1989-0951886-3
MathSciNet review: 951886
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Abstract: In this paper we study the solvability of boundary value problems for semilinear second order elliptic partial differential equations of resonance type in which the nonlinear perturbation is not (necessarily) required to satisfy the Landesman-Lazer condition or the monotonicity assumption. The nonlinearity may be unbounded and some crossing of eigenvalues is allowed. Selfadjoint and nonselfadjoint resonance problems are considered.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1989-0951886-3
Keywords: Boundary value problems, second order elliptic partial differential equations, (double) resonance, Leray-Schauder continuation method, topological degree
Article copyright: © Copyright 1989 American Mathematical Society