Mean Curvature
On the prescribed variable exponent mean curvature impulsive system boundary value problems
... exponent mean curvature impulsive system periodic-like boundary value ...exponent mean curvature impulsive system Dirichlet boundary value ...exponent mean curvature impulsive ...
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On approximations of the curve shortening flow and of the mean curvature flow based on the DeTurck trick
... the mean curvature flow and the Willmore flow have been proposed by several authors - all very appealing for different kinds of ...the mean curvature flow based on the fact that the ...
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Existence and multiplicity of positive solutions for one-dimensional prescribed mean curvature equations
... have attracted much attention in recent years, see [–] and the references therein. Since the problem is quasilinear non-uniformly elliptic, it is more difficult to study the exis- tence of classical solutions. The ...
12
Multiple radial solutions for Dirichlet problem involving two mean curvature equations in Euclidean and Minkowski spaces
... In literature, (multiple) existence results for the Dirichlet problem involving prescribed mean curvature equations arising from (1.1) in R N+1 or (1.2) in L N+1 have been widely studied from various ...
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Motion by mean curvature and level-set approach
... The goal of this talk is to give an introduction to the mean curvature motion and the level-set approach. This presentation does not aim at being very precise or/and exhaustive. I would like to give the ...
15
Homoclinic solutions for n-dimensional prescribed mean curvature p-Laplacian equations
... is studied. By means of Mawhin’s continuation theorem and some analysis methods, a new result on the existence of homoclinic solutions for the equation is obtained. Our research enriches the contents of prescribed ...
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Existence and uniqueness of anti-periodic solutions for prescribed mean curvature Rayleigh equations
... Feng, M: Periodic solutions for prescribed mean curvature Liénard equation with a deviating argument.. Nonlinear Anal., Real World Appl.[r] ...
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New positive periodic solutions to singular Rayleigh prescribed mean curvature equations
... prescribed mean curvature Liénard equations to the singular case and studied the positive periodic solu- tions for the following prescribed mean curvature Liénard equation with a ...
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Homoclinic solutions for a kind of prescribed mean curvature Duffing type equation
... In order to solve this problem, we study the existence of homoclinic solutions for pre- scribed mean curvature Duffing-type equation corresponding theory, which has not been investigated till now to the best ...
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Periodic solutions for prescribed mean curvature Rayleigh equation with a deviating argument
... ]), it is interesting to try to consider the existence of periodic solutions of prescribed mean curvature equations. However, to our best knowledge, the studies of delay equa- tions with prescribed ...
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SYMMETRIC SELF-SHRINKERS FOR THE FRACTIONAL MEAN CURVATURE FLOW. Annalisa Cesaroni. Matteo Novaga
... fractional mean curvature flow of a threshold dynamics scheme is proved; this result was adapted to the anisotropic case, even in presence of a driving force in [8], where it is also shown that the flow ...
11
New approach for the existence and uniqueness of periodic solutions to p-Laplacian prescribed mean curvature equations
... In this paper, we have investigated a periodic solution problem for two types of p-Laplacian prescribed mean curvature equations. Some sufficient conditions are obtained for the ex- istence and uniqueness of ...
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Existence of periodic solutions for a prescribed mean curvature Liénard p Laplacian equation with two delays
... This paper is concerned with the prescribed mean curvature Liénard type p-Laplacian equation with two arguments. By employing Mawhin’s coincidence degree theorem and the analysis techniques, some new ...
10
Global boundedness, interior gradient estimates, and boundary regularity for the mean curvature equation with boundary conditions
... the mean curvature H , together with the boundary contact angle θ in the capillarity problem and the boundary values ϕ in the Dirichlet ...the mean curvature H , together with the boundary ...
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Periodic solutions for a kind of prescribed mean curvature Liénard equation with a singularity and a deviating argument
... plays an important role in various physical and geometrical questions. And the existence of the periodic solutions and homoclinic solutions for the prescribed curvature mean equa- tion also attracts many ...
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Spacelike hypersurfaces in de Sitter space with constant higher order mean curvature
... higher-order mean curvature in the Euclidian space, hyperbolic space, the sphere, and so ...constant mean curvature H r , for some r = 1, ...
6
Existence and multiplicity of positive solutions of a one-dimensional mean curvature equation in Minkowski space
... where f (r, u) is nonnegative and continuous on (0, 1) × (0, +∞) and may be singular at r = 0 and/or r = 1 and strongly singular at u = 0. The authors presented sufficient con- ditions which guarantee the existence of ...
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Some Integral Formulas for the (r + 1)th Mean Curvature of a Closed Hypersurface
... In this section, we will relate the notion of the r th order of a Euclidean hypersurface with the r 1th mean curvature. In particular, we will obtain some sharp estimates of the r 1th mean ...
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A model for the behavior of fluid droplets based on mean curvature flow
... The critical shape has p = 0 which yields a rescaled catenoid. Suitable smoothings of the associated surfaces with p > 0 provide double cone smoothings in the sense of Definition 3.1 which pinch in finite time. This is ...
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Homoclinic solutions for a class of prescribed mean curvature Liénard equations
... and Li in [] studied the existence of periodic solutions for a prescribed mean curvature Rayleigh equation. Recently, the problem of existence of homoclinic solutions for some second-order Hamiltonian ...
15