Results 11 to 20 of about 211,213 (315)

Multiplicity of positive radial solutions for systems with mean curvature operator in Minkowski space

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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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, Petru Jebelean, Calin-Constantin Serban   +2 more
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Nontrivial Solutions for Potential Systems Involving the Mean Curvature Operator in Minkowski Space

Advanced Nonlinear Studies, 2017
In this paper, we use the critical point theory for convex, lower semicontinuous perturbations of C1{C^{1}}-functionals to obtain the existence of multiple nontrivial solutions for one parameter potential systems involving the operator u↦div⁡(∇⁡u1-|∇⁡u|2)
Gurban Daniela, Jebelean Petru, Şerban Călin   +2 more
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Existence of solutions for Hadamard fractional nonlocal boundary value problems with mean curvature operator at resonance

AIMS Mathematics
This paper aims to study the existence of solutions for Hadamard fractional nonlocal boundary value problems with mean curvature operator at resonance. Based on the coincidence degree theory, some new results are established.
Teng-Fei Shen, Jian-Gen Liu, Xiao-Hui Shen   +2 more
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On positive solutions of the Dirichlet problem involving the extrinsic mean curvature operator

Electronic Journal of Qualitative Theory of Differential Equations, 2016
In this paper, we are concerned with necessary conditions for the existence of positive solutions of the Dirichlet problem for the prescribed mean curvature equation in Minkowski space \begin{equation*} \begin{aligned} -\text{div}\left(\frac {\nabla u}{\
Ruyun Ma, Tianlan Chen, Hongliang Gao
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On the existence of multiple solutions for a partial discrete Dirichlet boundary value problem with mean curvature operator [PDF]

Advances in Nonlinear Analysis, 2021
Apartial discrete Dirichlet boundary value problem involving mean curvature operator is concerned in this paper. Under proper assumptions on the nonlinear term, we obtain some feasible conditions on the existence of multiple solutions by the method of ...
Sijia Du, Zhan Zhou
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Strong maximum principle for mean curvature operators on subriemannian manifolds [PDF]

Mathematische Annalen, 2016
We study the strong maximum principle for horizontal (p-) mean curvature operator and p-(sub)laplacian operator on subriemannian manifolds including, in particular, Heisenberg groups and Heisenberg cylinders. Under a certain Hormander type condition on vector fields, we show the strong maximum principle holds in higher dimensions for two cases: (a) the
Jih-Hsin Cheng, Hung-Lin Chiu, Jenn-Fang Hwang, Paul Yang   +3 more
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Nonlinear systems with mean curvature-like operators [PDF]

Banach Center Publications, 2007
We give an existence result for a periodic boundary value problem involving mean curvature-like operators. Following a recent work of R. Manásevich and J.
Pierluigi Benevieri, João Marcos do Ó, Everaldo Souto de Medeiros   +2 more
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On a power-type coupled system with mean curvature operator in Minkowski space

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, Yanzhong Zhao, Liangying Miao   +2 more
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Boundary value problems for a second-order difference equation involving the mean curvature operator

Boundary Value Problems, 2022
In this paper, we consider the existence of multiple solutions for discrete boundary value problems involving the mean curvature operator by means of Clark’s Theorem, where the nonlinear terms do not need any asymptotic and superlinear conditions at 0 or
Zhenguo Wang, Qilin Xie
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