Radial solutions for a Gelfand type quasilinear elliptic problem with quadratic gradient terms
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2013Resumen
In this paper, for a positive parameter λ, we study the existence
of solutions of quasilinear elliptic problems whose model is
−∆u +
µ(x)
1 + u
|∇u|
2 = λ(1 + u)
p
in Ω
u = 0 on ∂Ω,
where 0 < m ≤ µ(x) ≤ M and p > 1. A particular emphasis will be placed on
the existence of radial solution when the domain is the unit ball and µ(x) ≡ 1.