The Dirichlet problem for discontinuous perturbations of the mean curvature operator in Minkowski space [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2015 Using the critical point theory for convex, lower semicontinuous perturbations of locally Lipschitz functionals, we prove the solvability of the discontinuous Dirichlet problem involving the operator $u\mapsto\mbox{div} \Big(\frac{\nabla u}{\sqrt{1 ...
C. Bereanu +2 more
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Positive solutions of the discrete Dirichlet problem involving the mean curvature operator [PDF]
Open Mathematics, 2019 In this paper, by using critical point theory, we obtain some sufficient conditions on the existence of infinitely many positive solutions of the discrete Dirichlet problem involving the mean curvature operator.
Ling Jiaoxiu, Zhou Zhan
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Multiple periodic solutions for discrete boundary value problem involving the mean curvature operator [PDF]
Open Mathematics, 2022 In this article, by using critical point theory, we prove the existence of multiple TT-periodic solutions for difference equations with the mean curvature operator: −Δ(ϕc(Δu(t−1)))+q(t)u(t)=λf(t,u(t)),t∈Z,-\Delta ({\phi }_{c}\left(\Delta u\left(t-1)))+q ...
Wang Zhenguo, Li Qiuying
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Three Solutions for a Partial Discrete Dirichlet Problem Involving the Mean Curvature Operator [PDF]
Mathematics, 2021 Partial difference equations have received more and more attention in recent years due to their extensive applications in diverse areas. In this paper, we consider a Dirichlet boundary value problem of the partial difference equation involving the mean ...
Shaohong Wang, Zhan Zhou
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Decaying positive global solutions of second order difference equations with mean curvature operator
Electronic Journal of Qualitative Theory of Differential Equations, 2020 A boundary value problem on an unbounded domain, associated to difference equations with the Euclidean mean curvature operator is considered. The existence of solutions which are positive on the whole domain and decaying at infinity is examined by ...
Zuzana Dosla +2 more
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Evolution of the first eigenvalue of the Laplace operator and the p-Laplace operator under a forced mean curvature flow [PDF]
Open Mathematics, 2020 In this paper, we discuss the monotonicity of the first nonzero eigenvalue of the Laplace operator and the p-Laplace operator under a forced mean curvature flow (MCF).
Qi Xuesen, Liu Ximin
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On a power-type coupled system with mean curvature operator in Minkowski space [PDF]
Boundary Value Problems, 2021 We study the Dirichlet problem for the prescribed mean curvature equation in Minkowski space { M ( u ) + v α = 0 in B , M ( v ) + u β = 0 in B , u | ∂ B = v | ∂ B = 0 , $$ \textstyle\begin{cases} \mathcal{M}(u)+ v^{\alpha }=0\quad \text{in } B ...
Zhiqian He +2 more
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Weakly Increasing Solutions of Equations with p-Mean Curvature Operator
MathematicsGlobally positive unbounded solutions, with zero derivative at infinity, are here considered for ordinary differential equations involving the generalized Euclidean mean curvature operator.
Zuzana Došlá +2 more
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AIMS Mathematics, 2021 In this paper, we are considered with the Dirichlet problem of quasilinear differential system with mean curvature operator in Minkowski space $ \mathcal{M}(w): = \text{div}\Big(\frac{\nabla w}{\sqrt{1-|\nabla w|^2}}\Big), $ in a ball in $ \mathbb{
Zhiqian He, Liangying Miao
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Journal of Numerical Analysis and Approximation TheoryMany models that use non-linear partial differential equations (PDEs) have been extensively applied for different tasks in image processing. Among these PDE-based approaches, the mean curvature flow filtering has impressive results, for which feature ...
Rafaa Chouder, Noureddine Benhamidouche
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