Results 31 to 40 of about 30,910 (222)
Open Mathematics, 2022 In this article, we study a class of Kirchhoff-type equation driven by the variable s(x, ⋅)-order fractional p1(x, ⋅) & p2(x, ⋅)-Laplacian. With the help of three different critical point theories, we obtain the existence and multiplicity of solutions in
Bu Weichun, An Tianqing, Zuo Jiabin
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Global well-posedness of Kirchhoff systems [PDF]
, 2012 The aim of this paper is to establish the $H^1$ global well-posedness for Kirchhoff systems. The new approach to the construction of solutions is based on the asymptotic integrations for strictly hyperbolic systems with time-dependent coefficients. These
Bernstein +24 more
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Multiple solutions for critical Choquard-Kirchhoff type equations [PDF]
Advances in Nonlinear Analysis, 2020 AbstractIn this article, we investigate multiplicity results for Choquard-Kirchhoff type equations, with Hardy-Littlewood-Sobolev critical exponents,−a+b∫RN|∇u|2dxΔu=αk(x)|u|q−2u+β∫RN|u(y)|2μ∗|x−y|μdy|u|2μ∗−2u,x∈RN,$$\begin{array}{} \displaystyle -\left(a + b\int\limits_{\mathbb{R}^N} |\nabla u|^2 dx\right){\it\Delta} u = \alpha k(x)|u|^{q-2}u + \beta ...
Binlin Zhang +3 more
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On an elliptic Kirchhoff-type problem depending on two parameters
, 2009 In this paper, we consider the Dirichlet problem associated to an elliptic Kirchhoff-type equation depending on two parameters. Under rather general and natural assumptions, we prove that, for certain values of the parameters, the problem has at least ...
A. Mao +7 more
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Assessing the role of spatial externalities in the survival of Italian innovative startups
Regional Science Policy &Practice, EarlyView., 2023 Abstract The paper provides novel empirical evidence about the effects of spatial externalities on the survival of innovative startups in Italy. Using geocoded firm‐level data, we build micro‐geographic measures of specialization and diversity that are robust to the modifiable areal unit problem.
Diego Giuliani +4 more
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On boundary layer in the Mindlin plate model: Levy plates [PDF]
, 2008 This work is related to the bending problem of thick rectangular Levy plates. Series solution for the Mindlin (thick) plate model is obtained and represented as a sum of the Kirchhoff (thin) plate model solution, the ``shear terms'' and the ``boundary ...
Brank, Boštjan
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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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The Existence of Multiple Solutions for Nonhomogeneous Kirchhoff Type Equations in
Abstract and Applied Analysis, 2013 We are concerned with the existence of multiple solutions to the nonhomogeneous Kirchhoff type equation where are positive constants, , we can find a constant such that for all the equation has at least two radial solutions provided .
Qi Zhang, Xiaoli Zhu
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SOLUCIÓN LOCAL DE UNA ECUACIÓN DE KIRCHHOFF NO LINEAL VISCOELÁSTICA CON TÉRMINO DISIPATIVO
Pesquimat, 2014 In this work, we study the existence and uniqueness of the local solutions to themixed problem for a type of viscoelastic nonlinear Kirchhoff 's equation with dissipativeterm.
Teófanes Quispe Méndez
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, 2017 In this paper we deal with the following fractional Kirchhoff equation \begin{equation*} \left(p+q(1-s) \iint_{\mathbb{R}^{2N}} \frac{|u(x)- u(y)|^{2}}{|x-y|^{N+2s}} \, dx\,dy \right)(-\Delta)^{s}u = g(u) \mbox{ in } \mathbb{R}^{N}, \end{equation*} where
Ambrosio, Vincenzo, Isernia, Teresa
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