Results 11 to 20 of about 30,910 (222)
Stability of Solutions for a Krichhoff-Type Plate Equation with Degenerate Damping
Communications in Advanced Mathematical Sciences, 2022 We investigate a Kirchhoff type plate equation with degenerate damping term. By potential well theory, we show the asymptotic stability of energy in the presence of a degenerate damping.
Fatma Ekinci, Erhan Pişkin
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The vanishing viscosity limit for Hamilton-Jacobi equations on Networks [PDF]
, 2012 For a Hamilton-Jacobi equation defined on a network, we introduce its vanishing viscosity approximation. The elliptic equation is given on the edges and coupled with Kirchhoff-type conditions at the transition vertices. We prove that there exists exactly
Camilli, Fabio +2 more
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An Existence Result for Fractional Kirchhoff-Type Equations
Zeitschrift für Analysis und ihre Anwendungen, 2016 The aim of this paper is to study a class of nonlocal fractional Laplacian equations of Kirchhoff-type. More precisely, by using an appropriate analytical context on fractional Sobolev spaces, we establish the existence of one non-trivial weak solution for nonlocal fractional problems exploiting suitable variational methods.
Bisci, G., TULONE, Francesco
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On the Kirchhoff type equations in $\mathbb{R}^{N}$
Advances in Differential Equations, 2022 Consider a nonlinear Kirchhoff type equation as follows \begin{equation*} \left\{ \begin{array}{ll} -\left( a\int_{\mathbb{R}^{N}}|\nabla u|^{2}dx+b\right) Δu+u=f(x)\left\vert u\right\vert ^{p-2}u & \text{ in }\mathbb{R}^{N}, \\ u\in H^{1}(\mathbb{R}^{N}), & \end{array}% \right.
Sun, Juntao, Wu, Tsung-Fang
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Bifurcation diagrams of one-dimensional Kirchhoff-type equations
Advances in Nonlinear Analysis, 2022 Abstract We study the one-dimensional Kirchhoff-type equation − ( b +
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Resonance problems for Kirchhoff type equations
Discrete & Continuous Dynamical Systems - A, 2013 The existence of weak solutions is obtained for some Kirchhoff type equations with Dirichlet boundary conditions which are resonant at an arbitrary eigenvalue under a Landesman-Lazer type condition by the minimax methods.
Jijiang Sun, Chun-Lei Tang
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International Journal of Differential Equations, 2019 We consider a damped Kirchhoff-type equation with Dirichlet boundary conditions. The objective is to show the Fréchet differentiability of a nonlinear solution map from a bilinear control input to the solution of a Kirchhoff-type equation.
Jin-soo Hwang
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Kirchhoff type equations with strong singularities
Communications on Pure & Applied Analysis, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sun, Yijing, Tan, Yuxin
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Existence of nontrivial solutions for p-Kirchhoff type equations [PDF]
Boundary Value Problems, 2013 The authors make use of the linking theorem and the mountain pass theorem to show the existence of nontrivial solutions for the nonlocal elliptic \(p\)-Kirchhoff equations without assuming Ambrosetti-Rabinowitz type growth conditions. At least one nontrivial weak solution, in the space \(W_0^{1,p}(\Omega),\) is obtained. The weak solutions of the above
Liu, Chunhan +2 more
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Existence and Decay of Solutions for a Parabolic-Type Kirchhoff Equation with Variable Exponents
Journal of Mathematical Sciences and Modelling, 2023 This paper deals with a parabolic-type Kirchhoff equation with variable exponents. Firstly, we obtain the global existence of solutions by Faedo-Galerkin method. Later, we prove the decay of solutions by Komornik's inequality.
Gülistan Butakın, Erhan Pişkin
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