On the solvability of a nonlinear second-order elliptic equation at resonance
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- by Chung-Cheng Kuo PDF
- Proc. Amer. Math. Soc. 124 (1996), 83-87 Request permission
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 $u\to \infty$ and $u\to -\infty$, 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
- 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 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 83-87
- MSC (1991): Primary 35J65, 47H11, 47H15
- DOI: https://doi.org/10.1090/S0002-9939-96-03145-0
- MathSciNet review: 1301035