Results 271 to 280 of about 211,213 (315)

The spectrum of the mean curvature operator

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2020
We show that the spectrum of the relativistic mean curvature operator on a bounded domain Ω ⊂ ℝN (N ⩾ 1) having smooth boundary, subject to the homogeneous Dirichlet boundary condition, is exactly the interval (λ1(2), ∞), where λ1(2) stands for the ...
M. Mihăilescu
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Heteroclinic solutions for a difference equation involving the mean curvature operator

Applied Mathematics Letters, 2023
This article is concerned with generalizing the work of \textit{A. Cabada} and \textit{S. Tersian} [Nonlinear Anal., Real World Appl. 12, No. 4, 2429--2434 (2011; Zbl 1235.39002)] to the following discrete boundary value problem (\(n \in \mathbb{Z} \)): \[ \left\{ \begin{array}{ll} -\Delta\left[ \phi_c\left(\Delta x(n-1)\right)\right] + \lambda q(n)x(n)
Shaohong Wang, Z. Zhou
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Radial non-potential Dirichlet systems with mean curvature operator in Minkowski space

Positivity, 2020
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Daniela Gurban
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Positive solutions for a discrete Dirichlet problem involving the mean curvature operator

Journal of Difference Equations and Applications
In this paper, we consider a discrete Dirichlet problem involving the mean curvature operator and a positive parameter λ. We establish the corresponding variational functional to the problem and the relation between the difference norm and the ...
Zhan Zhou, Yanshan Chen, Jianshe Yu
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Global bifurcation for problem with mean curvature operator on general domain

Nonlinear Differential Equations and Applications NoDEA, 2017
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Guowei Dai
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Bifurcation and nonnegative solutions for problem with mean curvature operator on general domain

Indiana University Mathematics Journal, 2018
Summary: We establish the existence/nonexistence and multiplicity of nontrivial nonnegative solutions for the following 0-Dirichlet problem with mean curvature operator in the Minkowski space \[ \begin{cases} -\operatorname{div} \left(\frac{\nabla u}{\sqrt{1-|\nabla u|^2}}\right) = \lambda f(x,u) \quad &\text{in }\Omega, \\ u = 0 &\text{on }\partial ...
Guowei Dai
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On the Laplace Operator Penalized by Mean Curvature

Communications in Mathematical Physics, 1998
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Harrell, Evans M. II, Loss, Michael
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Second Eigenvalue of Schr�dinger Operators�and Mean Curvature

Communications in Mathematical Physics, 2000
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El Soufi, Ahmad, Ilias, Saïd
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Positive radial solutions for Dirichlet problems involving the mean curvature operator in Minkowski space

International journal of nonlinear sciences and numerical simulation, 2021
In this paper, we study the number of classical positive radial solutions for Dirichlet problems of type (P) − d i v ∇ u 1 − | ∇ u | 2 = λ f ( u )   in B 1 , u = 0                     on ∂ B 1 , $$\left\{\begin{aligned}\hfill & -\mathrm{d}\mathrm{i ...
Zhiqian He, Liangying Miao
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Weak solutions for a class of quasilinear elliptic equation containing the p ( ⋅ ) -Laplacian and the mean curvature operator in a variable exponent Sobolev space

Electronic Journal of Qualitative Theory of Differential Equations
In this paper, we consider the equation for a class of nonlinear operators containing p ( ⋅ ) -Laplacian and mean curvature operator with mixed boundary conditions in a bounded domain Ω of R N , under the ...
Junichi Aramaki
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