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Partial Differential Equations with Minimal Smoothness and Applications pp 163–172Cite as

On the Positive Solutions of the Free-Boundary Problem for Emden-Fowler Type Equations

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Part of the book series: The IMA Volumes in Mathematics and its Applications ((IMA,volume 42))

Abstract

Let Ω be a smooth, bounded and connected domain in R n. In this paper, we consider the following boundary value problem:

$$\left\{ \begin{gathered} \Delta u + f\left( u \right) = 0 in \Omega , \hfill \\ u > 0 in \Omega , \hfill \\ u = \tfrac{{\partial u}}{{\partial n}} = 0 on \partial \Omega . \hfill \\ \end{gathered} \right. $$
(1.1)

.

This work was Supported by Applied Mathematical Sciences subprogram of the Office of Energy Research, U.S. Department of Energy, under Contract W-31-109-Eng-38

Research supported in part by the National Science Foundation

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References

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Author information

Authors and Affiliations

  1. Mathematics and Computer Science Division, Argonne National Laboratory, Argonne, IL, 60439-4801, USA

    Hans G. Kaper & Man Kam Kwong

  2. University of Rochester, Rochester, NY, 14620, USA

    Yi Li

Authors
  1. Hans G. Kaper
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  2. Man Kam Kwong
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  3. Yi Li
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Editor information

Editors and Affiliations

  1. Department of Mathematics, University of South Carolina, Columbia, SC, 29303, USA

    B. Dahlberg

  2. Department of Mathematics, University of Chicago, Chicago, IL, 60637, USA

    R. Fefferman , Carlos Kenig  & J. Pipher ,  & 

  3. Department of Mathematics, University of Minnesota, Minneapolis, MN, 55455, USA

    Eugene Fabes

  4. Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA

    David Jerison

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© 1992 Springer-Verlag New York, Inc.

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Kaper, H.G., Kwong, M.K., Li, Y. (1992). On the Positive Solutions of the Free-Boundary Problem for Emden-Fowler Type Equations. In: Dahlberg, B., Fefferman, R., Kenig, C., Fabes, E., Jerison, D., Pipher, J. (eds) Partial Differential Equations with Minimal Smoothness and Applications. The IMA Volumes in Mathematics and its Applications, vol 42. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-2898-1_15

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  • DOI: https://doi.org/10.1007/978-1-4612-2898-1_15

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-7712-5

  • Online ISBN: 978-1-4612-2898-1

  • eBook Packages: Springer Book Archive

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