Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
Mobile Device Pairing
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Generalizations of Browder's degree theory


Authors: Shou Chuan Hu and Nikolaos S. Papageorgiou
Journal: Trans. Amer. Math. Soc. 347 (1995), 233-259
MSC: Primary 47H11; Secondary 35J60, 35K55, 47H05, 47N20, 58C30
MathSciNet review: 1284911
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: The starting point of this paper is the recent important work of F. E. Browder, who extended degree theory to operators of monotone type. The degree function of Browder is generalized to maps of the form $ T + f + G$, where $ T$ is maximal monotone, $ f$ is of class $ {(S)_ + }$ bounded, and $ G( \cdot )$ is an u.s.c. compact multifunction. It is also generalized to maps of the form $ f + {N_G}$, with $ f$ of class $ {(S)_ + }$ and $ {N_G}$ the Nemitsky operator of a multifunction $ G(x,r)$ satisfying various types of sign conditions. Some examples are also included to illustrate the abstract results.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 47H11, 35J60, 35K55, 47H05, 47N20, 58C30

Retrieve articles in all journals with MSC: 47H11, 35J60, 35K55, 47H05, 47N20, 58C30


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1995-1284911-6
PII: S 0002-9947(1995)1284911-6
Keywords: Degree function, monotone operator, operator of class $ {(S)_ + }$, Nemitsky operator, sign condition, multifunction, approximate selector, normalization, additivity on domain, homotopy invariance, compact embedding
Article copyright: © Copyright 1995 American Mathematical Society