Results 31 to 40 of about 15,138,774 (296)
Electronic Research Archive, 2022 In this article, we study the following bi-nonlocal Kirchhoff-Schr$ \ddot{\mathrm{o}} $dinger-Poisson system with critical growth: $ \begin{equation*} \begin{cases} -\left( \int_{\Omega}|\nabla u|^2dx\right)^r\Delta u+\phi u = u^5+\lambda\left ...
Guaiqi Tian , Hongmin Suo , Yucheng An
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W1,p versus C1: The nonsmooth case involving critical growth
Bulletin of Mathematical Sciences, 2020 In this paper, we study a class of generalized and not necessarily differentiable functionals of the form J(u) =∫ΩG(x,∇u)dx −∫Ωj1(x,u)dx −∫∂Ωj2(x,u)dσ with functions j1: Ω × ℝ → ℝ, j2: ∂Ω × ℝ → ℝ that are only locally Lipschitz in the second ...
Yunru Bai +3 more
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Electronic Research Archive, 2023 In this article, we investigate the Kirchhoff-Schrödinger-Poisson type systems on the Heisenberg group of the following form: $ \begin{equation*} \left\{ \begin{array}{lll} {-(a+b\int_{\Omega}|\nabla_{H} u|^{p}d\xi)\Delta_{H, p}u-\mu\phi |u|^{p-2}u} =
Shujie Bai +2 more
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Semiclassical states for Choquard type equations with critical growth: critical frequency case [PDF]
Nonlinearity, 2017 In this paper we are interested in the existence of semiclassical states for the Choquard type equation −ε2Δu+V(x)u=∫RNG(u(y))|x−y|μdyg(u)inRN, where 0 < μ < N, N ⩾ 3, ɛ is a positive parameter and G is the primitive of g which is of critical growth due ...
Yanheng Ding, Fashun Gao, Minbo Yang
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Finance and Growth: A Critical Survey* [PDF]
Economic Record, 2006 We present a survey of the finance‐growth nexus that raises a number of qualifications to the standard interpretation. We investigate doubts regarding empirical consensus and we consider the prevalence of cross‐section econometrics as dominant in shaping the present theoretical consensus.
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Sign-changing solutions for fourth-order elliptic equations of Kirchhoff type with critical exponent
Electronic Journal of Qualitative Theory of Differential Equations, 2021 In this paper, we study the existence of ground state sign-changing solutions for the following fourth-order elliptic equations of Kirchhoff type with critical exponent. More precisely, we consider \begin{equation*} \begin{cases} \Delta^2u - \left(1 +
Sihua Liang, Binlin Zhang
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Attractor of the nonclassical diffusion equation with memory on time- dependent space
AIMS Mathematics, 2023 We consider the dynamic behavior of solutions for a nonclassical diffusion equation with memory $ u_{t}-\varepsilon(t) \triangle u_{t}- \triangle u-\int_{0}^{\infty}\kappa(s)\triangle u(t-s)ds+f(u) = g(x) $ on time-dependent space for which the ...
Jing Wang, Qiaozhen Ma, Wenxue Zhou
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Energy-critical NLS with potentials of quadratic growth [PDF]
, 2017 Consider the global wellposedness problem for nonlinear Schr\"odinger equation \[ i\partial_t u = [-\tfrac{1}{2} \Delta + V(x)] u \pm |u|^{4/(d-2)} u, \ u(0) \in \Sigma(\mathbf{R}^d), \] where $\Sigma$ is the weighted Sobolev space $\dot{H}^1 \cap |x|^{
Jao, Casey
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Electronic Journal of Qualitative Theory of Differential Equations, 2023 In this paper, we study the existence of positive solutions for the following generalized quasilinear Schrödinger equation \begin{equation*} -\operatorname{div}(g^p(u)|\nabla u|^{p-2}\nabla u)+g^{p-1}(u)g'(u)|\nabla u|^p+V(x)|u|^{p-2}u =K(x)f(u)+Q(x)g(u)|
Zhen Li
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Growth and the public sector: a critique of the critics [PDF]
European Journal of Political Economy, 1999 Abstract In a recent review article, Agell et al. (ALO) [Agell, J., Lindh, T., Ohlsson, H., 1997. Growth and the public sector: a critical review essay. European Journal of Political Economy 13, 33–52.] claim that theoretical and empirical evidence does not allow any conclusion on whether there is a relationship between the rate of economic growth ...
Fölster, Stefan, Henrekson, Magnus
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