TY  - GEN 
AU  - Arcoya, David
AU  - Carmona Tapia, José
AU  - Martínez Aparicio, Pedro Jesús
PY  - 2014
UR  - http://hdl.handle.net/10835/15697
AB  - In this paper, for 0 < m1  m(x)  m2 and positive parameters λ and p, we study the existence of positive solution for the
quasilinear model problem
⎧
⎨
⎩
−u + m(x)|∇u|
2
1 + u = λ(1 + u)p in Ω,
u = 0 on ∂Ω.
We prove that the maximal set of λ...
LA  - en
KW  - Gelfand problem
KW  - Quasilinear elliptic equations
KW  - Quadratic gradient
KW  - Stability condition
KW  - Extremal solutions
TI  - Gelfand type quasilinear elliptic problems with quadratic gradient terms
DO  - 10.1016/J.ANIHPC.2013.03.002
ER  -