Results 41 to 50 of about 211,213 (315)

Minimization of a Ginzburg–Landau functional with mean curvature operator in 1-D

Nonlinear Analysis
The aim of this paper is to investigate the minimization problem related to a Ginzburg–Landau energy functional, where in particular a nonlinear diffusion of mean curvature-type is considered, together with a classical double well potential. A careful analysis of the corresponding Euler–Lagrange equation, equipped with natural boundary conditions and ...
Raffaele Folino, Corrado Lattanzio
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On hypersurfaces of Lorentzian standard 4-space forms satisfying a biconservativity condition [PDF]

Journal of Mahani Mathematical Research, 2023
In this manuscript, we consider an extended version of biconservativity condition (namely, ${\textrm C}$-biconservativity) on the Riemannian hypersurfaces of Lorentzian standard 4-space forms.
Firooz Pashaie
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Conchoidal Surfaces in Euclidean 3-space Satisfying $\Delta x_{i}=\lambda _{i}x_{i}$

Universal Journal of Mathematics and Applications, 2023
In this paper, we study the conchodial surfaces in 3-dimensional Euclidean space with the condition $\Delta x_{i}=\lambda _{i}x_{i}$ where $\Delta $ denotes the Laplace operator with respect to the first fundamental form.
Tuğçe Dirim, Betül Bulca Sokur
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Corrigendum to: The Dirichlet problem with mean curvature operator in Minkowski space

Advanced Nonlinear Studies, 2016
Cristian Bereanu, Petru Jebelean, Jean Mawhin   +2 more
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Characterizations of Unit Darboux Ruled Surface with Quaternions

Journal of New Theory, 2023
This paper presents a quaternionic approach to generating and characterizing the ruled surface drawn by the unit Darboux vector. The study derives the Darboux frame of the surface and relates it to the Frenet frame of the base curve. Moreover, it obtains
Abdussamet Çalışkan
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Periodic solutions for nonlinear systems with mean curvature-like operators [PDF]

Nonlinear Analysis: Theory, Methods & Applications, 2006
A continuation theorem is given for the periodic boundary problem \[ (\phi(u'))'= f(t,u,u'),\qquad u(0)-u(T)=u'(0)-u'(T)=0,\tag{1} \] where \(f:[0,T]\times \mathbb{R}^{2N}\to \mathbb{R}^N\) is a Carathéodory function and \(\phi\) is a homeomorphism between \(\mathbb{R}^N\) and the open unit ball of \(\mathbb{R}^N\) satisfying \[ \phi(x)= w(\| x\| )x ...
BENEVIERI, PIERLUIGI, J. M. Do O', E. S. Medeiros   +2 more
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$L_k$-Biharmonic hypersurfaces in the 3-or 4-dimensional Lorentz-Minkowski spaces [PDF]

Journal of Mahani Mathematical Research, 2023
A hypersurface $ M^n $ in the Lorentz-Minkowski space $\mathbb{L}^{n+1} $ is called $ L_k $-biharmonic if the position vector $ \psi $ satisfies the condition $ L_k^2\psi =0$, where $ L_k$ is the linearized operator of the $(k+1)$-th mean curvature of ...
Rahim Hoseinoghli, Akram Mohammadpouri
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Multiple periodic solutions for discrete boundary value problem involving the mean curvature operator

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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Constraint-induced mean curvature dependence of Cartesian momentum operators [PDF]

Journal of Physics A: Mathematical and Theoretical, 2007
The Hermitian Cartesian quantum momentum operator $\mathbf{p}$ for an embedded surface $M$ in $R^{3}$ is proved to be a constant factor $-i\hbar $ times the mean curvature vector field $H\mathbf{n}$ added to the usual differential term. With use of this form of momentum operators, the operator-ordering ambiguity exists in the construction of the ...
Liu, Q. H., Tong, C. L., Lai, M. M.
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Evolution of the first eigenvalue of the Laplace operator and the p-Laplace operator under a forced mean curvature flow

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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