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The existence of a positive solution of semilinear elliptic equations with limiting Sobolev exponent
Published online by Cambridge University Press: 14 November 2011
Synopsis
Our paper concerns the existence of a positive solution for the equation:
A new condition, which guarantees the existence of a solution of the above equation, has been established. It has also given some sharp information in the cases where: (1) a(x) = λ = const. and Ω is a “thin” domain; (2) Ω is a ball and a(x) is a radially symmetrical function.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 117 , Issue 1-2 , 1991 , pp. 75 - 88
- Copyright
- Copyright © Royal Society of Edinburgh 1991
References
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