Geodesic
Existence of positive solutions for singular eigenvalue problems
Electronic journal of differential equations, Tome 2006 (2006)
In this paper, we discuss the existence, nonexistence, and multiplicity of positive solutions for a class of singular eigenvalue problems. Some of our theorems are new, while others extend earlier results obtained by Zhang and Kong [12]. The interesting point is that the authors obtain the relation between the existence of solutions and the parameter $\lambda$. The arguments are based on the fixed point index theory and the upper and lower solutions method.
Classification : 34B15
Keywords: positive solution, nonexistence, existence, complete continuity, singularity 
@article{EJDE_2006__2006__a139,
     author = {Feng,  Meiqiang and Ge,  Weigao},
     title = {Existence of positive solutions for singular eigenvalue problems},
     journal = {Electronic journal of differential equations},
     year = {2006},
     volume = {2006},
     zbl = {1118.34014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a139/}
}
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Feng,  Meiqiang; Ge,  Weigao. Existence of positive solutions for singular eigenvalue problems. Electronic journal of differential equations, Tome 2006 (2006). http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a139/