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.
KeywordsMaximum Principle General Domain Minimal Solution Lower Solution Nonnegative Solution
Unable to display preview. Download preview PDF.