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A priori bounds for a class of nonlinear elliptic equations and applications to physical problems

Published online by Cambridge University Press:  14 November 2011

Catherine Bandle
Catherine Bandle
Affiliation:
Mathematisches Institut der Universität Basel, Rheinsprung 21, CH-4051 Basel, Switzerland
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Synopsis

Upper and lower bounds for the solutions of a nonlinear Dirichlet problem are given and isoperimetric inequalities for the maximal pressure of an ideal charged gas are constructed. The method used here is based on a geometrical result for two-dimensional abstract surfaces.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 88 , Issue 1-2 , 1981 , pp. 75 - 81
Copyright
Copyright © Royal Society of Edinburgh 1981

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References

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