Nonlinear problems related to the Thomas-Fermi equation

Philippe Bénilan and Haïm Brezis ()
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Philippe Bénilan: Université de Franche-comté, Departement de Mathématiques
Haïm Brezis: Université P. et M. Curie, Analyse Numérique

A chapter in Nonlinear Evolution Equations and Related Topics, 2004, pp 673-770 from Springer

Abstract: Abstract Most of the results in this work were obtained over the period 1975-77 and were announced at various meetings (see e.g. items [3], [4], [5] under Brezis [16]). This paper has a rather unusual history. Around 1972 I became interested in nonlinear elliptic equations of the form (P.1) $$ - \Delta u + |u{|^{{p - 1}}}u = f in a domain \Omega \subset {\mathbb{R}^{N}}, $$ with zero Dirichlet condition, where 0

Keywords: Euler Equation; Nonlinear Problem; Singular Solution; Nonlinear Elliptic Equation; Unique Minimizer (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1007/978-3-0348-7924-8_35

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