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Elliptic problems in ℝN with discontinuous nonlinearities
Published online by Cambridge University Press: 20 January 2009
Abstract
For a class of elliptic equations in the entire space and with nonlinear terms having a possibly uncountable (but of Lebesgue measure zero) set of discontinuities, the existence of strong solutions is established. Two simple applications are then developed. The approach taken is strictly based on set-valued analysis and fixed-points arguments.
Keywords
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 43 , Issue 3 , October 2000 , pp. 545 - 558
- Copyright
- Copyright © Edinburgh Mathematical Society 2000