Results 21 to 30 of about 1,647 (209)
Existence of high energy solutions for Kirchhoff-type equations [PDF]
Proceedings of the 2nd International Conference On Systems Engineering and Modeling, 2013 In this paper, by applying the fountain theorems, we study the existence of infinitely many high energy solutions for the nonlinear kirchhoff nonlocal equations under the Ambrosetti-Rabinowitz type growth conditions or no Ambrosetti-Rabinowitz type growth conditions, infinitely many high energy solutions are obtained.
Chun Han Liu, Jian Guo Wang
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Liouville theorems for Kirchhoff-type parabolic equations and system on the Heisenberg group
Open Mathematics, 2023 In this article, the Liouville theorems for the Kirchhoff-type parabolic equations on the Heisenberg group were established. The main technique for proving the result relies on the method of test functions.
Shi Wei
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Parameter Identification Problem for the Kirchhoff‐Type Equation with Viscosity [PDF]
Abstract and Applied Analysis, 2012 The constant parameter identification problem in the Kirchhoff‐type equation with viscosity is studied. The problem is formulated by a minimization of quadratic cost functionals by distributive measurements. The existence of optimal parameters and necessary optimality conditions for the parameters are proved.
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Qualitative Theory of Dynamical Systems, 2023 We study the one-dimensional nonlocal elliptic equation of Kirchhoff type with logarithmic Kirchhoff function. We establish the precise asymptotic formulas for the solution $u_λ(x)$ as $λ\to \infty$. Here, $λ> 0$ is the bifurcation parameter.
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Multiplicity and concentration of solutions for Kirchhoff equations with exponential growth
Bulletin of Mathematical SciencesIn this paper, we deal with fractional [Formula: see text]-Laplace Kirchhoff equations with exponential growth of the form 𝜀ps(a + b[u] s,pp)(−Δ) psu + Z(x)|u|p−2u = h(u)in ℝN, where [Formula: see text] is a positive parameter, [Formula: see text ...
Xueqi Sun, Yongqiang Fu, Sihua Liang
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Kirchhoff type equations with strong singularities
Communications on Pure and Applied Analysis, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sun, Yijing, Tan, Yuxin
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Resonance problems for Kirchhoff type equations
Discrete and Continuous Dynamical Systems, 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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Existence and multiplicity of solutions for p(.)-Kirchhoff-type equations
Turkish Journal of Mathematics, 2022 Summary: This paper is concerned with the existence and multiplicity of solutions of a Dirichlet problem for \(p(.)\)-Kirchhoff-type equation \[ \begin{cases} M\left(\int_\Omega\frac{|\nabla u|^{p(x)}}{p(x)} dx\right)(-\Delta_{p(x)}u) = f(x, u), &\text{in }\Omega, \\ u=0, &\text{on }\partial\Omega.
AKBULUT, Sezgin +2 more
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The Existence of a Nontrivial Solution for a -Kirchhoff Type Elliptic Equation in
Abstract and Applied Analysis, 2013 Using Mountain Pass lemma, under some appropriate assumptions, we establish the existence of one nontrivial solution for a class of p-Kirchhoff-type elliptic equations in .
Zonghu Xiu
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Phase Field Failure Modeling: Brittle‐Ductile Dual‐Phase Microstructures under Compressive Loading
Advanced Engineering Materials, EarlyView.The approach by Amor and the approach by Miehe and Zhang for asymmetric damage behavior in the phase field method for fracture are compared regarding their fitness for microcrack‐based failure modeling. The comparison is performed for the case of a dual‐phase microstructure with a brittle and a ductile constituent.
Jakob Huber, Jan Torgersen, Ewald Werner
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