Special Issue in honor of John W. Neuberger. Electron. J. Diff. Eqns., Special Issue 02 (2023), pp. 101-107.

Remarks on compactness conditions and their application

David G. Costa

Abstract:
We review typical compactness conditions used in variational techniques and some of their properties, and the relationships between them. In particular, we provide some new insights into results related to the Palais-Smale and Cerami conditions, and their comparison.

Published March 27, 2023.
Math Subject Classifications: 35-04.
Key Words: Compactness conditions; Palais-Smale condition; Cerami condition, Brezis-Coron-Nirenberg condition,
DOI: https://doi.org/10.58997/ejde.sp.02.c3

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David G. Costa
Department of Mathematical Sciences
University of Nevada Las Vegas, Box 454020
Las Vegas, NV 89154-4020, USA
email: david.costa@unlv.edu

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