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Localized Solutions of Nonlinear Stationary Problems

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Part of the book series: Progress in Nonlinear Differential Equations and Their Applications ((PNLDE,volume 48))

Abstract

In this chapter, we introduce and develop the energy method as a tool for the study of nonlinear stationary problems which give rise to free boundaries. These free boundaries are usually defined as the boundaries of the supports of solutions and, as we shall indicate later on, are of great relevance in many applications.

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© 2002 Springer Science+Business Media New York

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Antontsev, S.N., Díaz, J.I., Shmarev, S. (2002). Localized Solutions of Nonlinear Stationary Problems. In: Energy Methods for Free Boundary Problems. Progress in Nonlinear Differential Equations and Their Applications, vol 48. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0091-8_1

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  • DOI: https://doi.org/10.1007/978-1-4612-0091-8_1

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-6607-5

  • Online ISBN: 978-1-4612-0091-8

  • eBook Packages: Springer Book Archive

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