Electronic Journal of Differential Equations,
Conference 05 (2000), pp. 201-221.

Title: Existence and number of solutions to semilinear equations with 
  applications to boundary-value problems.

Authors: P. S. Milojevic (New Jersey Inst. of Technology, Newark, NJ, USA)
 
Abstract: We present recent and some new existence results on the number of 
  solutions to nonlinear equations and to (non)resonant semilinear 
  equations involving nonlinear perturbations of Fredholm maps of 
  index zero.  We apply our results to semilinear elliptic, 
  and to semilinear parabolic and  hyperbolic periodic  
  boundary-value problems.


Published October 24, 2000.
Math Subject Classifications: 47H15,47H09, 35J40. 
Key Words: Existence; number of solutions; (pseudo) A-proper
  maps; elliptic BVP's; parabolic and hyperbolic equations.