Exact Multiplicity of One-Sign Solutions for a Class of Quasilinear Eigenvalue Problems
Received:October 20, 2012  Revised:June 04, 2013
Key Words: bifurcation   one-sign solution   exact multiplicity.
Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.11261052; 11101335).
 Author Name Affiliation Guowei DAI Department of Mathematics, Northwest Normal University, Gansu 730070, P. R. China Xiaoling HAN Department of Mathematics, Northwest Normal University, Gansu 730070, P. R. China
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This paper concerns the exact multiplicity of one-sign solutions of a class of quasilinear elliptic eigenvalue problems with asymptotical nonlinearity at 0 and $\infty$. The proofs of our main results are based upon bifurcation techniques and stability analysis.