An introduction to maximum principles and symmetry in elliptic problems /

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Detalles Bibliográficos
Autor principal: Fraenkel, L. E.
Formato: Libro
Lenguaje:Inglés
Publicado: Cambridge : Cambridge University Press, c2000 (first paperback ed. 2010)
Colección:Cambridge tracts in mathematics ; 128
Materias:
ECUACIONES DIFERENCIALES ELIPTICAS
FUNCIONES SIMETRICAS
Aporte de:Registro referencial: Solicitar el recurso aquí
Biblioteca Central Dr. Luis F. Leloir (FCEN) de Universidad de Buenos Aires
Tabla de Contenidos:
  • 0 Some notation, terminology and basic calculus
  • 1 Introduction
  • 2 Some maximum principles for elliptic equations
  • 3 Symmetry for a non-linear poisson equation in a symmetric set Ω
  • 4 Symmetry for the non-linear poisson equation in ℝᴺ
  • 5 Monotonicity of positive solutions in a bounded set Ω
  • Appendix A On the newtonian potential
  • Appendix B Rudimentary facts about harmonic functions and the poisson equation
  • Appendix C Construction of the primary function of siegel type
  • Appendix D On the divergence theorem and related matters
  • Appendix E The edge-point lemma

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