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The Ecumenical Review, 2021
AbstractReports of global ecumenical conversations are regularly published by the World Council of Churches in a collection of volumes titled Growth in Agreement. The assumption is that the dialogues are not just repeating the same arguments they made half a century ago, but that relations between member churches have grown qualitatively as a result of
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AbstractReports of global ecumenical conversations are regularly published by the World Council of Churches in a collection of volumes titled Growth in Agreement. The assumption is that the dialogues are not just repeating the same arguments they made half a century ago, but that relations between member churches have grown qualitatively as a result of
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Complex Variables and Elliptic Equations, 2020
In this paper, we study the following fractional Schrödinger–Poisson system with critical growth where , , , 2s+2t>3 and . Under some suitable assumptions on and , the ground state solutions and sign-changing solutions are obtained.
Chaoxia Ye, K. Teng
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In this paper, we study the following fractional Schrödinger–Poisson system with critical growth where , , , 2s+2t>3 and . Under some suitable assumptions on and , the ground state solutions and sign-changing solutions are obtained.
Chaoxia Ye, K. Teng
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SINGULAR ELLIPTIC PROBLEMS WITH CRITICAL GROWTH
Communications in Partial Differential Equations, 2002We consider Dirichlet problems of the form in Ω, u = 0 on ∂Ω, where Ω is an arbitrary domain in , with N ≥ 3, α ∈ e(0,2), and p = 2(N−α)/(N−2) is the corresponding critical exponent.
CALDIROLI, Paolo, Malchiodi A.
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International mathematics research notices, 2019
In this paper we study the following nonlinear Schrödinger equation with magnetic field $$\begin{align*} \left(\frac{\varepsilon}{i}\nabla-A(x)\right)^{2}u+V(x)u=f(| u|^{2})u,\quad x\in\mathbb{R}^{2}, \end{align*}$$where $\varepsilon>0$ is a parameter,
P. d’Avenia, Chao Ji
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In this paper we study the following nonlinear Schrödinger equation with magnetic field $$\begin{align*} \left(\frac{\varepsilon}{i}\nabla-A(x)\right)^{2}u+V(x)u=f(| u|^{2})u,\quad x\in\mathbb{R}^{2}, \end{align*}$$where $\varepsilon>0$ is a parameter,
P. d’Avenia, Chao Ji
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Engineering Fracture Mechanics, 1968
Abstract The major evidence bearing upon sub-critical flaw growth in structural materials is reviewed and discussed. Attention is focused upon the growth of pre-existing flaws at operating stresses less than the net section yield strength, from both the separate and combined effects of fatigue and aggressive environments.
Herbert H. Johnson, Paul C. Paris
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Abstract The major evidence bearing upon sub-critical flaw growth in structural materials is reviewed and discussed. Attention is focused upon the growth of pre-existing flaws at operating stresses less than the net section yield strength, from both the separate and combined effects of fatigue and aggressive environments.
Herbert H. Johnson, Paul C. Paris
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Milan Journal of Mathematics, 2019
In this paper, we study the following class of nonlinear equations: $$ -\Delta u+V(x) u = \left[|x|^{-\mu}*(Q(x)F(u))\right]Q(x)f(u),\quad x\in\mathbb{R}^2, $$ where $V$ and $Q$ are continuous potentials, which can be unbounded or vanishing at infintiy, $
F. Albuquerque +2 more
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In this paper, we study the following class of nonlinear equations: $$ -\Delta u+V(x) u = \left[|x|^{-\mu}*(Q(x)F(u))\right]Q(x)f(u),\quad x\in\mathbb{R}^2, $$ where $V$ and $Q$ are continuous potentials, which can be unbounded or vanishing at infintiy, $
F. Albuquerque +2 more
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Normalized solutions of Schrödinger equations involving Moser-Trudinger critical growth
Advances in Nonlinear AnalysisIn this article, we are concerned with the nonlinear Schrödinger equation − Δ u + λ u = μ ∣ u ∣ p − 2 u + f ( u ) , in R 2 , -\Delta u+\lambda u=\mu {| u| }^{p-2}u+f\left(u),\hspace{1em}\hspace{0.1em}\text{in}\hspace{0.1em}\hspace{0.33em}{{\mathbb{R ...
Gui-Dong Li, Jianjun Zhang
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Advances in Nonlinear Analysis, 2018
In this paper, we concern ourselves with the following Kirchhoff-type equations: { - ( a + b ∫ ℝ 3 | ∇ u | 2 𝑑 x ) △ u + V u = f ( u ) in ℝ 3 , u ∈ H 1 ( ℝ 3 ) , \left\{\begin{aligned} \displaystyle-\biggl{(}a+b\int_{\mathbb{R}^{3 ...
Liping Xu, Haibo Chen
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In this paper, we concern ourselves with the following Kirchhoff-type equations: { - ( a + b ∫ ℝ 3 | ∇ u | 2 𝑑 x ) △ u + V u = f ( u ) in ℝ 3 , u ∈ H 1 ( ℝ 3 ) , \left\{\begin{aligned} \displaystyle-\biggl{(}a+b\int_{\mathbb{R}^{3 ...
Liping Xu, Haibo Chen
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Ground state and nodal solutions for a Schrödinger-Poisson equation with critical growth
Journal of Mathematics and Physics, 2018In this paper, we study a nonlinear Schrodinger-Poisson equation with critical growth in R3. Under some assumptions on potential functions, we prove that for p ∈ (3, 6), the Schrodinger-Poisson equation has ground state and nodal solutions by variational
Aixia Qian, Jingmei Liu, Anmin Mao
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Nonvariational problems with critical growth
Nonlinear Analysis: Theory, Methods & Applications, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chhetri, Maya +3 more
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