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Published October 1970 | Published
Journal Article Open

Positive Solutions of Nonlinear Elliptic Eigenvalue Problems

Abstract

We shall study a class of mildly nonlinear elliptic eigenvalue problems which are suggested by several recently occurring problems concerning the steady state temperature distribution of a physical medium in which heat is being generated nonlinearly.

Additional Information

© 1970 Indiana University Mathematics Department. Date communicated: June 26, 1969. During the progress of the work this author was a Bateman Research Fellow at the California Institute of Technology and also a member of the NATO Mathematics Research Conference at the University of Calgary, 1968. Partially supported by the U. S. Army Research Office (Durham) under Contract DAHC 04-68-C-0006 and by the National Science Foundation under NSF Grant No. GP 7978.

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Created:
August 19, 2023
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October 18, 2023