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Nonlinear Free Boundary Problems with Singular Source Terms

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Nonlinear Differential Equation Models

Abstract

We prove the existence of solutions to nonlinear free boundary problem with singularities at given points.

This work was initiated during the authors' visit to the Royal Institute of Technology in Stockholm and was supported by the Goran Gustafsson foundation.

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  1. Adler SL, Piran T (1984) Relaxation methods for gauge field equilibrium equations. Reviews Mod Physics 56: 1–40

    Article  MathSciNet  Google Scholar 

  2. Alt HW, Caffarelli L, Friedman A (1984) A free boundary problem for quasi-linear elliptic equations, Ann Scuola Normale Sup di Pisa Ser IV XI: 1–44

    MathSciNet  Google Scholar 

  3. Danielli D, Petrosyan A (2004) A minimum problem with free boundary for a degenerate quasilinear operator (to appear)

    Google Scholar 

  4. Federer H (1969) Geometric Measure Theory. Berlin Heidelberg New York: Springer

    Google Scholar 

  5. Gilbarg D, Trudinger NS (2001) Elliptic Partial Differential Equations of Second Order, Berlin Heidelberg New York: Springer

    Google Scholar 

  6. Kichenassamy S (1987) Quasilinear problem s with singularities. Manuscripta Math 57: 281–313

    Article  MathSciNet  MATH  Google Scholar 

  7. Serrin J (1964) Local behavior of solutions of quasilinear equations. Acta Math 111: 247–302

    Article  MathSciNet  MATH  Google Scholar 

  8. Shahgholian H (1994) Existence of quadrature surfaces for positive measure s with finite support. Potential Analysis 3: 245–255

    Article  MathSciNet  MATH  Google Scholar 

  9. Talenti G (1979) Nonlinear elliptic equations, rearrangements of functions and Orlicz spaces. Ann Mat Pura Appl 120: 159–184

    Article  MathSciNet  MATH  Google Scholar 

  10. Tolksdorf P (1984) Regularity for more general class of quasilinear elliptic equations. J Diff Equations 51: 126–150

    Article  MathSciNet  MATH  Google Scholar 

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© 2004 Springer-Verlag Wien

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Hakobyan, A., Karakhanyan, A. (2004). Nonlinear Free Boundary Problems with Singular Source Terms. In: Jüngel, A., Manasevich, R., Markowich, P.A., Shahgholian, H. (eds) Nonlinear Differential Equation Models. Springer, Vienna. https://doi.org/10.1007/978-3-7091-0609-9_2

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  • DOI: https://doi.org/10.1007/978-3-7091-0609-9_2

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  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-7091-7208-7

  • Online ISBN: 978-3-7091-0609-9

  • eBook Packages: Springer Book Archive

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