Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6419180 | Journal of Mathematical Analysis and Applications | 2013 | 14 Pages |
Abstract
In this paper we study the existence of multiple solutions for semilinear elliptic boundary value problems, first when the nonlinearity is asymptotically linear and then when it has an arbitrary behavior for large values of the argument. Our proofs use extensively the global bifurcation theorem and bifurcation from infinity. Additionally, when we can apply the Lyapunov-Schmidt reduction method, we show the existence of multiple solutions, we give an exact number of solutions, and we provide qualitative properties of these solutions.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Jorge Cossio, Sigifredo Herrón, Carlos Vélez,