Generalized Bernstein Theory

  • Robert F. Brown


The title of this chapter refers to the fact that, by the use of topological methods, Granas, Guenther and Lee [GGL] were able to extend the classical boundary value theory of Bernstein [B] to nonlinear problems. This chapter is based on their work.


Linear Space Dirichlet Boundary Condition Fixed Point Theory Dirichlet Condition Vector Subspace 


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Copyright information

© Springer Science+Business Media New York 1993

Authors and Affiliations

  • Robert F. Brown
    • 1
  1. 1.Department of MathematicsUniversity of California, Los AngelesLos AngelesUSA

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