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On the Dirichlet problem for weakly non-linear elliptic partial differential equations

Published online by Cambridge University Press:  14 February 2012

E. N. Dancer
E. N. Dancer
Affiliation:
Department of Mathematics, University of New England, Australia
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Synopsis

We study the existence of solutions of the Dirichlet problem for weakly nonlinear elliptic partial differential equations. We only consider cases where the nonlinearities do not depend on any partial derivatives. For these cases, we prove the existence of solutions for a wide variety of nonlinearities.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 76 , Issue 4 , 1977 , pp. 283 - 300
Copyright
Copyright © Royal Society of Edinburgh 1977

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