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Introduction to geometric potential theory

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1450)

Keywords

  • Harmonic Function
  • Interior Point
  • Isoperimetric Inequality
  • Subharmonic Function
  • Singular Limit

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Bandle, C., On a differential inequality and its applications to geometry, Math. Z. 147 (1976) 253–261.

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  6. Itoh, T., Blow-up of solutions for semilinear parabolic equations, In; Suzuki, T. (ed.), Solutions for Nonlinear Elliptic Equations, Kokyuroku RIMS Kyoto Univ. 679 pp. 127–139, 1989.

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  7. Liouville, J., Sur l'équation aux différences partielles δ 2 log λ/δuδv ± λ/2a 2=0, J. de Math., 18 (1853) 71–72.

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  8. Nagasaki, K., Suzuki, T., Asymptotic analysis for two dimensional eigenvalue problems with exponentially-dominated nonlinearities, to appear in Asymptotic Analysis.

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  9. Suzuki, T., Two dimensional Emden-Fowler equation with the exponential nonlinearity, to appear in; Lloyd, N.G., Ni, W.M., Peletier, L.A., Serrin, J. (eds.), Nonlinear Diffusion Equations and their Equilibrium States, Wales 1989, Birkhäuser.

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© 1990 Springer-Verlag

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Suzuki, T. (1990). Introduction to geometric potential theory. In: Fujita, H., Ikebe, T., Kuroda, S.T. (eds) Functional-Analytic Methods for Partial Differential Equations. Lecture Notes in Mathematics, vol 1450. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0084900

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  • DOI: https://doi.org/10.1007/BFb0084900

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53393-1

  • Online ISBN: 978-3-540-46818-9

  • eBook Packages: Springer Book Archive