We prove a priori estimates and existence results for Dirichlet problems whose model case is: −div(ϕ|Du|^(p−2)Du/(1 + |u|)^θ(p−1)) = gϕ in Ω, u =0 on ∂Ω, where Ω is an open subset of R^N with γ (Ω) < 1, N>= 2, 1 < p <+∞, θ >=0 and ϕ is the density of Gauss measure.
A class of nonlinear degenerate elliptic equations related to the Gauss measure
FEO, Filomena
2012-01-01
Abstract
We prove a priori estimates and existence results for Dirichlet problems whose model case is: −div(ϕ|Du|^(p−2)Du/(1 + |u|)^θ(p−1)) = gϕ in Ω, u =0 on ∂Ω, where Ω is an open subset of R^N with γ (Ω) < 1, N>= 2, 1 < p <+∞, θ >=0 and ϕ is the density of Gauss measure.File in questo prodotto:
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