On the Dirichlet problem for weakly non-linear elliptic partial differential equations
- 1 January 1977
- journal article
- research article
- Published by Cambridge University Press (CUP) in Proceedings of the Royal Society of Edinburgh: Section A Mathematics
- Vol. 76 (4) , 283-300
- https://doi.org/10.1017/s0308210500019648
Abstract
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.Keywords
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