# American Institute of Mathematical Sciences

2005, 2005(Special): 798-805. doi: 10.3934/proc.2005.2005.798

## Semilinear elliptic equations with generalized cubic nonlinearities

 1 Department of Mathematics, College of William and Mary, Williamsburg, Virginia 23187 2 Department of Mathematics and Statistics, Center for Computational Sciences, Mississippi State University, Mississippi State, MS 39762, United States

Received  September 2004 Revised  April 2005 Published  September 2005

A semilinear elliptic equation with generalized cubic nonlinearity is studied. Global bifurcation diagrams and the existence of multiple solutions are obtained and in certain cases, exact multiplicity is proved.
Citation: Junping Shi, R. Shivaji. Semilinear elliptic equations with generalized cubic nonlinearities. Conference Publications, 2005, 2005 (Special) : 798-805. doi: 10.3934/proc.2005.2005.798
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