Electronic Journal of Differential Equations,
Vol. 1996(1996), No. 1, pp 1--9.

Title: On the number of solutions of boundary
       value problems involving the P-Laplacian

Authors: Hai Dang (Mississippi State Univ.) 
         Klaus Schmitt (Univ. of Utah)
         R. Shivaji (Mississippi State Univ.)

Abstract: This paper is concerned with multiplicity questions for 
solutions of the boundary value problem
  $$
    (\varphi (u'))' + \lambda f(t, u)=0,\quad a<t<b$$
                 $$u(a)=u(b)=0.
  $$
where $\varphi$ is an odd, increasing homeomorphism on $R$, and
$\lambda$ is a positive parameter. The tools 
employed are fixed point and continuation methods.

Submitted October 4, 1995. Published January 8, 1996.
Math Subject Classification: 34B15, 35J15, 35J85.
Key Words: p-Laplacian; radial solutions; boundary value problems.