Existence of solutions to a class of semilinear elliptic equations involving general subcritical growth
Published online by Cambridge University Press: 24 July 2014
Abstract
In this paper, we consider the semilinear elliptic equation −Δu = λf(x,u) with the Dirichlet boundary value, and under suitable assumptions on the nonlinear term f with a more general growth condition. Some existence results of solutions are given for all λ > 0 via the variational method and some analysis techniques.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 144 , Issue 4 , August 2014 , pp. 809 - 818
- Copyright
- Copyright © Royal Society of Edinburgh 2014
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