| 1. |
- Al Musawi, Ahmed, et al.
(författare)
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Intervention for a correct medication list and medication use in older adults : a non-randomised feasibility study among inpatients and residents during care transitions
- 2024
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Ingår i: International Journal of Clinical Pharmacy. - : Springer. - 2210-7703 .- 2210-7711.
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Tidskriftsartikel (refereegranskat)abstract
- BackgroundMedication discrepancies in care transitions and medication non-adherence are problematic. Few interventions consider the entire process, from the hospital to the patient's medication use at home.AimIn preparation for randomised controlled trials (RCTs), this study aimed (1) to investigate the feasibility of recruitment and retention of patients, and data collection to reduce medication discrepancies at discharge and improve medication adherence, and (2) to explore the outcomes of the interventions.MethodParticipants were recruited from a hospital and a residential area. Hospital patients participated in a pharmacist-led intervention to establish a correct medication list upon discharge and a follow-up interview two weeks post-discharge. All participants received a person-centred adherence intervention for three to six months. Discrepancies in the medication lists, the Beliefs about Medicines Questionnaire (BMQ-S), and the Medication Adherence Report Scale (MARS-5) were assessed.ResultsOf 87 asked to participate, 35 were included, and 12 completed the study. Identifying discrepancies, discussing discrepancies with physicians, and performing follow-up interviews were possible. Conducting the adherence intervention was also possible using individual health plans for medication use. Among the seven hospital patients, 24 discrepancies were found. Discharging physicians agreed that all discrepancies were errors, but only ten were corrected in the discharge information. Ten participants decreased their total BMQ-S concern scores, and seven increased their total MARS-5 scores.ConclusionBased on this study, conducting the two RCTs separately may increase the inclusion rate. Data collection was feasible. Both interventions were feasible in many aspects but need to be optimised in upcoming RCTs.
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| 2. |
- Baravdish, George, et al.
(författare)
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Extension of p-Laplace Operator for Image Denoising
- 2016
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Ingår i: 27th IFIP TC 7 Conference, CSMO 2015, Sophia Antipolis, France, June 29 - July 3, 2015, Revised Selected Papers. - Cham : Springer. - 9783319557946 - 9783319557953 ; , s. 107-116, s. 107-116
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Bokkapitel (refereegranskat)abstract
- In this work we introduce a novel operator $$\displaystyle \varDelta _(p,q)$$ as an extended family of operators that generalize the p-Laplace operator. The operator is derived with an emphasis on image processing applications, and particularly, with a focus on image denoising applications. We propose a non-linear transition function, coupling p and q, which yields a non-linear filtering scheme analogous to adaptive spatially dependent total variation and linear filtering. Well-posedness of the final parabolic PDE is established via pertubation theory and connection to classical results in functional analysis. Numerical results demonstrates the applicability of the novel operator $$\displaystyle \varDelta _(p,q)$$ .
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| 3. |
- Baravdish, George, 1964-, et al.
(författare)
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Generalizations of p-Laplace operator for image enhancement : Part 2
- 2020
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Ingår i: Communications on Pure and Applied Analysis. - Springfield, MO, United States : American Institute of Mathematical Sciences. - 1534-0392 .- 1553-5258. ; 19:7, s. 3477-3500
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Tidskriftsartikel (refereegranskat)abstract
- We have in a previous study introduced a novel elliptic operator Delta((p,q))u = vertical bar del u vertical bar(q) Delta(1)u + (p - 1) vertical bar del u vertical bar(p-2)Delta(infinity) u, p >= 1, q >= 0, as a generalization of the p-Laplace operator. In this paper, we establish the well-posedness of the parabolic equation u(t) =vertical bar del u vertical bar(1-q) Delta((1+q,q)), where q = q(vertical bar del u vertical bar) is continuous and has range in [0, 1], in the framework of viscosity solutions. We prove the consistency and convergence of the numerical scheme of finite differences of this parabolic equation. Numerical simulations shows the advantage of this operator applied to image enhancement.
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| 4. |
- Baravdish, George, 1964-, et al.
(författare)
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On a new singular and degenerate extension of the p-Laplace operator
- 2024
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Ingår i: Nonlinear Analysis. - : PERGAMON-ELSEVIER SCIENCE LTD. - 0362-546X .- 1873-5215. ; 244
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Tidskriftsartikel (refereegranskat)abstract
- We study a novel degenerate and singular elliptic operator Δ˜(τ,χ) defined by Δ˜(τ,χ)u=τ(x,Du)(|Du|Δ1u+χ(x,Du)Δ∞u), where the singular weights τ(x,s)>0 and χ(x,s)≥0 are continuous functions on Ω×Rn∖{0}. The operator Δ˜(τ,χ) is an extension of Δ(p,q)u=|Du|qΔ1u+(p−1)|Du|p−2Δ∞u,p≥1,q≥0, introduced by the authors in Baravdishet al. (2020), which in turn is an extension of the p-Laplace operator Δp. We establish the well-posedness of the Neumann boundary value problem for the parabolic equation ut=Δ˜(τ,χ)u in the framework of viscosity solutions. For the solution u, the weight χ controls the evolution along the tangential and the normal directions, respectively, on the level surface of u. The weight τ controls the total speed of the evolution of u. We also prove the consistency and the convergence of the numerical scheme for the finite differences method of the parabolic equation above. Numerical simulations show that our novel nonlinear operator Δ˜(τ,χ) gives better results than both the Perona–Malik (Perona and Malik, 1990) and total variation (TV) methods (Chan and Shen, 2005) when applied to image enhancement.
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| 5. |
- Cheng, Yuanji
(författare)
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A generalized Fucik type eigenvalue problem for p-Laplacian
- 2009
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Ingår i: Electronic Journal of Qualitative Theory of Differential Equations. - : Bolyai institute. - 1417-3875. ; :18, s. 1-9
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Tidskriftsartikel (refereegranskat)abstract
- In this paper we study the generalized Fucik type eigenvalue for the boundary value problem of one dimensional $p-$Laplace type differential equations -(φ(u'))' = ψ(u), u(-T) = u(T) =0, where φ(s) = α s^p, ψ(s)= λs^p, s >0; φ(s) = -β|s|^p, ψ(s)= -μ|s|^p, s <0. We say (α, β, λ, μ) belong to the Fucik spectrum, if the above boundary value problem has a non-trival solution. We have obtained a complete and explicit characterization of Fucik spectrum for such problem.
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| 6. |
- Cheng, Yuanji
(författare)
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Bifurcation of positive solutions for a semilinear equation with critical Sobolev exponent
- 2006
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Ingår i: Electronic Journal of Differential Equations. - : Department of Mathematics Texas State University-San Marcos, USA. - 1550-6150 .- 1072-6691. ; 2006, s. 1-8
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Tidskriftsartikel (refereegranskat)abstract
- In this note we consider bifurcation of positive solutions to the semilinear elliptic boundary-value problem with critical Sobolev exponent -∆u = λu - αu^p+ u^{2^*-1}, u ≥ 0, in Ω u=0, on Ω. where Ω is a bounded C^2-domain in R^n, n ≥ 3, λ > λ_1, 1 < p < 2^* -1= (n+2)/(n-2) and α > 0 is a bifurcation parameter. Brezis and Nirenberg showed that a lower order (non-negative) perturbation can contribute to regain the compactness and whence yields existence of solutions. We study the equation with an indefinite perturbation and prove a bifurcation result of two solutions for this equation.
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| 7. |
- Cheng, Yuanji
(författare)
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Boundary blow-up insemilinear elliptic problems with singular weights at the boundary
- 2001
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Ingår i: Applicable Mathematics. - : Narosa publishing house, New Delhi. - 8173194068 ; , s. 68-81
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Bokkapitel (övrigt vetenskapligt/konstnärligt)abstract
- In this paper, we study under what conditions on m(x) and f(u) the problem Δu=m(x)f(u) has a solution in a bounded domain D, which tends to infinity, as x tends to the boundary. We show that if m(x) is singular at the boundary of D, except that the Keller-Osserman condition must hold, the growth of f at the infinity has to be slow for a solution to exist. Some existence results have been established.
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| 8. |
- Cheng, Yuanji
(författare)
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Exact multiplicity of solutions for p-Laplace type differential equations
- 2009
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Ingår i: International journal of pure and applied mathematics. - : Academic Pub, Sofia, Bulgaria. - 1311-8080 .- 1314-3395. ; 53:3, s. 395-412
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Tidskriftsartikel (refereegranskat)abstract
- Multiplicity of solutions to the following boundary value problem -(φ(u'))' = λψ(u), T < x < T; u(-T) = u(T) = 0, is considered. There are many works devoted to odd function φ, ψ, but are very few on non-odd cases. For the prototype function φ(u) = au^p, u >0, = -b |u|^q,u < 0 several exact multiplicity results have been established.
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| 9. |
- Cheng, Yuanji
(författare)
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Hölder continuity of the inverse of p-Laplacian
- 1998
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Ingår i: Journal of Mathematical Analysis and Applications. - : Elsevier BV. - 0022-247X .- 1096-0813. ; 221:2, s. 734-748
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Tidskriftsartikel (refereegranskat)abstract
- In this note, we study the inverse operator (-Δp) - 1ofp-Lapalcian on a bounded domain Ω Rn. We show that (-Δp) - 1:W - 1, p′(Ω) → W1, p0(Ω) is Hölder continuous and is a compact operator fromV(q, s)toW1, p0(Ω), s (0, p′), q > p* the conjugate of critical Sobolev exponent. As an application, we study existence of positive solutions of two nonlinear elliptic equations
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| 10. |
- Cheng, Yuanji
(författare)
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Multiple solutions for prescribed boundary value problem
- 2002
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Ingår i: Nonlinear Analysis. - : Elsevier Science Ltd.. - 0362-546X .- 1873-5215. ; 51:3, s. 537-552
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Tidskriftsartikel (refereegranskat)abstract
- We, in this paper, consider the semilinear elliptic boundary value problem - ∆u = f(x, u) in Ω and u = g on ∂Ω and the corresponding Bolza problem x'' + ∂V(t, x) =0, x(0)= x0, x(T)= x1, where Ω is a bounded open subset in R^n with C² boundary and g is a given continuous function on the boundary of Ω; and T is the given traveling time, x0,x1 are two fixed points in the state space Rn. Under certain conditions on f and V, we show that the above problems have infinitely many solutions
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