1,722,235 research outputs found
Existence and uniqueness of solutions to some singular equations with natural growth
No full textWe 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
Regularizing effect of absorption terms in singular problems
No full textWe prove existence of solutions to problems whose model is {−Δpu+uq=[Formula presented]inΩ,u≥0inΩ,u=0on∂Ω where Ω is an open bounded subset of RN (N≥2), Δpu is the p-laplacian operator for 1≤p0, γ≥0 and f is a nonnegative function in Lm(Ω) for some m≥1. In particular we analyze the regularizing effect produced by the absorption term in order to infer the existence of finite energy solutions in case γ≤1. We also study uniqueness of these solutions as well as examples which show the optimality of the results. Finally, we find local W1,p-solutions in case γ>1
Le lesioni muscolari - dalla classificazione alla terapia - Linee Guida I. S. Mu. L. T. ( Italian Society of Muscles, Ligaments and Tendons )
No full text
Letter to the Editor “Management of the first-time lateral patellar dislocation. [The Knee 26 (2019) 1161–1165]”
No full textComparison Principle for Elliptic Equations with Mixed Singular Nonlinearities
Full text linkWe deal with existence and uniqueness of positive solutions of an elliptic boundary value problem modeled by{−Δpu=fuγ+guqinΩ,u=0on∂Ω, where Ω is an open bounded subset of RN where Ω is an open bounded subset of RN, Δpu := ÷(|∇u|p− 2∇u) is the usual p-Laplacian operator, γ ≥ 0 and 0 ≤ q ≤ p − 1; f and g are nonnegative functions belonging to suitable Lebesgue spaces
Moving Horizon Estimator with filtering and adaptive sampling
Full text linkOptimisation based algorithms known as Moving Horizon Estimator (MHE) have been developed through the years. In this work, we propose two solutions to decrease the computational cost of MHE, limiting its applicability in real-time applications. The proposed solutions rely on output filtering and adaptive sampling. The use of filters reduces the total amount of data by shortening the length of the moving window (buffer) and consequently decreasing the time consumption for plant dynamics integration. The proposed adaptive sampling policy allows for discarding data that do not yield significant improvements in the estimation error. Simulations on several cases are provided to corroborate the effectiveness of the proposed strategies
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