On the Solutions of the Problem for a Singular Ergodic Control
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DOI: 10.1007/s10957-017-1099-y
Abstract: This paper discusses an eigenvalue problem for a singular ergodic control. The eigenvalue has a probabilistic interpretation which can be regarded as the least, long-time averaged (ergodic) cost for a singular control problem. The existence… read more here.
Keywords: control; singular ergodic; solutions problem; ergodic control ... See more keywords
Asymptotics of solutions to the problem of fluid outflow from a rectangular duct
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DOI: 10.1063/5.0045260
Abstract: We investigated the asymptotics of two-dimensional steady solutions simulating the energy-conserving flow in a horizontal duct of finite depth in situations where the flow contains a region spanning the depth of the duct, and a… read more here.
Keywords: asymptotics solutions; approximation; fluid; problem fluid ... See more keywords
Multiplicity of Small or Large Energy Solutions for Kirchhoff-Schrödinger-Type Equations Involving the Fractional p-Laplacian in ℝN
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DOI: 10.3390/sym10100436
Abstract: We herein discuss the following elliptic equations:M ( ∫ RN ∫ RN |u(x)−u(y)|p |x−y|N+ps dx dy ) (−∆)pu+ V(x)|u|p−2u = λ f (x, u) inRN, where (−∆)p is the fractional p-Laplacian defined by (−∆)pu(x) =… read more here.
Keywords: multiplicity; energy solutions; fractional laplacian; energy ... See more keywords