Results 11 to 20 of about 41,256 (237)
On the critical $p$-Kirchhoff equation
Topological Methods in Nonlinear Analysis, 2023 We study a nonlocal elliptic equation of $p$-Kirchhoff type involving the critical Sobolev exponent. First we give sufficient conditions for the $(\text{PS})$ condition to hold. Then we prove some existence and multiplicity results using tools from Morse theory, in particular, the notion of a cohomological local splitting and eigenvalues based on the
Erisa Hasani, Kanishka Perera
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Multiple positive solutions for a class of Kirchhoff type equations with indefinite nonlinearities
Advances in Nonlinear Analysis, 2021 We study the following Kirchhoff type equation:
Che Guofeng, Wu Tsung-fang
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Existence of least energy sign-changing solutions to Kirchhoff equation with critical growth
Journal of Hebei University of Science and Technology, 2020 In order to deeply study the characteristics of Kirchhoff equation, the existence result of the least energy sign-changing solutions to Kirchhoff equation with Hartree term and critical growth nonlinear term was discussed.
Wenguo LIANG, Yongyan HUANG
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Comparison of the Wiener and Kirchhoff Indices of Random Pentachains
Journal of Mathematics, 2021 Let G be a connected (molecule) graph. The Wiener index WG and Kirchhoff index KfG of G are defined as the sum of distances and the resistance distances between all unordered pairs of vertices in G, respectively.
Shouliu Wei +3 more
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n-Kirchhoff type equations with exponential nonlinearities [PDF]
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2015 Results from earlier version are improved. RACSAM - Revista de la Real Academia de Ciencias Exactas, F\'isicas y Naturales. Serie A.
Goyal, Sarika +2 more
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Existence of ground state for fractional Kirchhoff equation with L 2 $L^{2}$ critical exponents
Boundary Value Problems, 2020 In this paper, we consider a class of fractional Kirchhoff equations with L 2 $L^{2}$ critical exponents. By using the scaling technique and concentration-compactness principle we obtain the existence and nonexistence of ground state for fractional ...
Yaling Han, Yimin Zhang
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On the cases of Kirchhoff and Chaplygin of the Kirchhoff equations [PDF]
Regular and Chaotic Dynamics, 2012 It is proven that the general Kirchhoff case of the Kirchhoff equations for $B\ne 0$ is not algebraic complete integrable system. Similar analytic behavior of the general solution of the Chaplygin case is detected. Four-dimensional analogues of the Kirchhoff and the Chaplygin cases are defined on $e(4)$ with the standard Lie-Poisson bracket.
Dragović, Vladimir, Gajić, Borislav
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Kirchhoff equations with strong damping [PDF]
Journal of Evolution Equations, 2016 We consider Kirchhoff equations with strong damping, namely with a friction term which depends on a power of the "elastic" operator. We address local and global existence of solutions in two different regimes depending on the exponent in the friction term.
GHISI, MARINA, GOBBINO, MASSIMO
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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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Multiplicity and Concentration of Solutions for Kirchhoff Equations with Magnetic Field
Advanced Nonlinear Studies, 2021 In this paper, we study the following nonlinear magnetic Kirchhoff equation:
Ji Chao, Rădulescu Vicenţiu D.
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