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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Fisher–Kolmogorov type perturbations of the mean curvature operator in Minkowski space
Electronic Journal of Qualitative Theory of Differential Equations, 2020 We provide a complete description of the existence/non-existence and multiplicity of distinct pairs of nontrivial solutions to the problem with Minkowski operator $$ -\mbox{div} \left(\frac{\nabla u}{\sqrt{1-|\nabla u|^2}}\right)= \lambda u(1-a |u|^q ...
Petru Jebelean, Calin-Constantin Serban
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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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On unbounded solutions for differential equations with mean curvature operator [PDF]
Czechoslovak Mathematical Journal, 2023 We present necessary and sufficient conditions for the existence of unbounded increasing solutions to ordinary differential equations with mean curvature operator.
Zuzana Došlá +2 more
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Existence of Solutions for the Discrete Dirichlet Problem Involving p-Mean Curvature Operator [PDF]
Discrete Dynamics in Nature and Society, 2020 This work is to discuss the Dirichlet boundary value problem of the difference equation with p -mean curvature operator. Under some determinate growth conditions on the nonlinear term, the existence of one solution or two nontrivial solutions is obtained
Jianxia Wang, Zhan Zhou
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Decaying positive global solutions of second order difference equations with mean curvature operator [PDF]
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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Large Constant-Sign Solutions of Discrete Dirichlet Boundary Value Problems with p-Mean Curvature Operator [PDF]
Mathematics, 2020 In this paper, we consider the existence of infinitely many large constant-sign solutions for a discrete Dirichlet boundary value problem involving p -mean curvature operator.
Jianxia Wang, Zhan Zhou
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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 MathematicsBy variational technique coupled with the mountain pass lemma and fountain theorem, we investigate a second-order partial difference equation involving the mean curvature operator in the present paper.
Yuhua Long, Sha Li
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GLOBAL BIFURCATION RESULT FOR DISCRETE BOUNDARY VALUE PROBLEM INVOLVING THE MEAN CURVATURE OPERATOR
Journal of Applied Analysis & Computation, 2021 Summary: In this paper, by applying bifurcation technique, we obtain that there are two distinct unbounded continua \(\mathcal{C}_k^+\) and \(\mathcal{C}_k^-\) for a class of discrete Dirichlet problem involving the mean curvature operator which bifurcate from intervals of the line of trivial solutions.
Fumei Ye, Xiaoling Han
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