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Calculus of Variations and Partial Differential Equations, 2021
In this paper we study the existence of normalized solutions to the following nonlinear Schrödinger equation with critical growth -Δu=λu+f(u),inRN,u>0,∫RN|u|2dx=a2,\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage ...
C. O. Alves, Chao Ji, O. Miyagaki
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In this paper we study the existence of normalized solutions to the following nonlinear Schrödinger equation with critical growth -Δu=λu+f(u),inRN,u>0,∫RN|u|2dx=a2,\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage ...
C. O. Alves, Chao Ji, O. Miyagaki
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On a p⋅-biharmonic problem of Kirchhoff type involving critical growth
Applicable Analysis, 2021We establish a concentration-compactness principle for the Sobolev space that is a tool for overcoming the lack of compactness of the critical Sobolev imbedding.
N. T. Chung, Ky Ho
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Journal of Mathematics and Physics, 2021
We consider the Kirchhoff type equation with steep potential well and critical growth. By developing some techniques in variational methods, we obtain existence, multiplicity, and concentration behavior of positive solutions under suitable conditions.
Jian Zhang, Zhenluo Lou
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We consider the Kirchhoff type equation with steep potential well and critical growth. By developing some techniques in variational methods, we obtain existence, multiplicity, and concentration behavior of positive solutions under suitable conditions.
Jian Zhang, Zhenluo Lou
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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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Environment versus growth — A criticism of “degrowth” and a plea for “a-growth” [PDF]
Ecological Economics, 2011 In recent debates on environmental problems and policies, the strategy of "degrowth" has appeared as an alternative to the paradigm of economic growth. This new notion is critically evaluated by considering five common interpretations of it. One conclusion is that these multiple interpretations make it an ambiguous and rather confusing concept. Another
Jeroen C.J.M. van den Bergh +1 more
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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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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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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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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
openaire +2 more sources