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Global branches of positive weak solutions of semilinear elliptic problems over nonsmooth domains
Published online by Cambridge University Press: 14 November 2011
Abstract
We consider the nonlinear eigenvalue problem posed by a parameter-dependent semilinear second-order elliptic equation on a bounded domain with the Dirichlet boundary condition. The coefficients of the elliptic operator are bounded measurable functions and the boundary of the domain is only required to be regular in the sense of Wiener. The main results establish the existence of an unbounded branch of positive weak solutions.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 124 , Issue 2 , 1994 , pp. 371 - 388
- Copyright
- Copyright © Royal Society of Edinburgh 1994
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