We study existence and uniqueness of nonnegative solutions to a problem which is modeled by {-Δpu=u-θ|∇u|p+fu-γinΩ,u=0on∂Ω,where Ω is an open bounded subset of RN (N≥ 2), Δ p is the p-Laplacian operator (1 < p< N), f∈ L1(Ω) is nonnegative and θ, γ≥ 0. Examples and extensions are discussed at the end of the paper.
Existence and uniqueness of solutions to some singular equations with natural growth / Oliva, F.. - In: ANNALI DI MATEMATICA PURA ED APPLICATA. - ISSN 0373-3114. - 200:1(2021), pp. 287-314. [10.1007/s10231-020-00996-1]
Existence and uniqueness of solutions to some singular equations with natural growth
Oliva F.
2021
Abstract
We study existence and uniqueness of nonnegative solutions to a problem which is modeled by {-Δpu=u-θ|∇u|p+fu-γinΩ,u=0on∂Ω,where Ω is an open bounded subset of RN (N≥ 2), Δ p is the p-Laplacian operator (1 < p< N), f∈ L1(Ω) is nonnegative and θ, γ≥ 0. Examples and extensions are discussed at the end of the paper.File allegati a questo prodotto
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