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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Solvability of semilinear equations with compact perturbations of operators of monotone type
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by Zhengyuan Guan PDF
Proc. Amer. Math. Soc. 121 (1994), 93-102 Request permission

Abstract:

The solvability of the equation $Au - Tu + Cu = f$ is studied under various assumptions of monotonicity and compactness on the operators A, T, and C, which map subsets of a reflexive Banach space X into its dual space. It is nowhere assumed that X possesses a Schauder basis or that the operator T is positive definite and selfadjoint. The results extend and/or improve recent results obtained by Chen, Kartsatos and Mabry, and Kesavan.
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Additional Information
  • © Copyright 1994 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 121 (1994), 93-102
  • MSC: Primary 47H15; Secondary 47H05, 47H11
  • DOI: https://doi.org/10.1090/S0002-9939-1994-1174492-4
  • MathSciNet review: 1174492