Steady-State Models

  • Jerrold Bebernes
  • David Eberly
Part of the Applied Mathematical Sciences book series (AMS, volume 83)


The first section of this chapter deals with existence for the Dirichlet problem where the nonlinearity F(x, u) is a nonnegative function. The key result used is an existence theorem based on a priori knowledge of upper and lower solutions. We also analyze the spectrum of nonlinear eigenvalue problems and determine bounds on the critical eigenvalues.


Maximum Principle General Domain Minimal Solution Lower Solution Nonnegative Solution 
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Copyright information

© Springer Science+Business Media New York 1989

Authors and Affiliations

  • Jerrold Bebernes
    • 1
  • David Eberly
    • 2
  1. 1.Department of MathematicsUniversity of ColoradoBoulderUSA
  2. 2.Department of MathematicsUniversity of TexasSan AntonioUSA

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