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Part of the book series: Progress in Nonlinear Differential Equations and Their Applications ((PNLDE,volume 7))

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Abstract

Let us consider the problem where Ω is a bounded domain in R N (N > 2) with a smooth boundary ∂Ω and g a function from R to R such that g(0) = 0. We consider the problem of existence of a solution of (I) when where λ,μ ∈ R and p > q > 1. In particular we consider the function although most of the results for (1.2) continue to hold when g merely satisfies (1.1)

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© 1992 Springer Science+Business Media New York

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Merle, F., Peletier, L.A. (1992). On Supercritical Phenomena. In: Lloyd, N.G., Ni, W.M., Peletier, L.A., Serrin, J. (eds) Nonlinear Diffusion Equations and Their Equilibrium States, 3. Progress in Nonlinear Differential Equations and Their Applications, vol 7. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0393-3_28

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  • DOI: https://doi.org/10.1007/978-1-4612-0393-3_28

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-6741-6

  • Online ISBN: 978-1-4612-0393-3

  • eBook Packages: Springer Book Archive

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