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Bifurcation for quasilinear elliptic equations on Rn with natural growth conditions
Published online by Cambridge University Press: 14 November 2011
Synopsis
We consider the following eigenvalue problem:
We prove the existence of H1(Rn)∩L∞(Rn) bifurcation at λ=0 but only require aij(x, t) (i,j= 1, 2, …,n) and f(x, t) to satisfy certain conditions in theneighbourhood of Rn × {0}.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 113 , Issue 3-4 , 1989 , pp. 215 - 228
- Copyright
- Copyright © Royal Society of Edinburgh 1989
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