American Institute of Mathematical Sciences

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

Semilinear elliptic equations with generalized cubic nonlinearities

Junping Shi 1, and  R. Shivaji 2,

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.
Keywords: global bifurcation., semilinear reaction-diffusion equation.
Mathematics Subject Classification: Primary: 35J65, Secondary: 35B32, 92D25, 92D4.
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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