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On the solvability of a nonlinear second-order elliptic equation at resonance
Author(s):
Chung-Cheng
Kuo
Journal:
Proc. Amer. Math. Soc.
124
(1996),
83-87.
MSC (1991):
Primary 35J65, 47H11, 47H15
MathSciNet review:
1301035
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Abstract:
We study the existence of solutions of the Neumann problem for semilinear second-order elliptic equations at resonance in which the nonlinear terms may grow superlinearly in one of the directions  and  , and sublinearly in the other. Solvability results are obtained under assumptions either with or without a Landesman-Lazer condition. The proofs are based on degree-theoretic arguments.
References:
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Additional Information:
Chung-Cheng
Kuo
Affiliation:
Department of Mathematics, Fu Jen University, Taipei, Taiwan
DOI:
10.1090/S0002-9939-96-03145-0
PII:
S 0002-9939(96)03145-0
Keywords:
Second-order elliptic equation,
Landesman-Lazer condition,
Leray-Schauder degree
Received by editor(s):
June 8, 1994
Additional Notes:
This research was supported in part by the National Science Council of the Republic of China
Communicated by:
Jeffrey Rauch
Copyright of article:
Copyright
1996,
American Mathematical Society
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