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Multi-bump solutions for the magnetic Schrödinger–Poisson system with critical growth
Electronic Journal of Qualitative Theory of Differential Equations, 2022 In this paper, we are concerned with the following magnetic Schrödinger–Poisson system \begin{align*} \begin{cases} -(\nabla+i A(x))^{2}u+(\lambda V(x)+1)u+\phi u=\alpha f(\left | u\right |^{2})u+\vert u\vert^{4}u,& \text{ in }\mathbb{R}^{3}, \\ -\Delta \
Chao Ji +2 more
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Positive solutions of a Kirchhoff–Schrödinger--Newton system with critical nonlocal term
Electronic Journal of Qualitative Theory of Differential Equations, 2022 This paper deals with the following Kirchhoff–Schrödinger–Newton system with critical growth \begin{equation*} \begin{cases} \displaystyle-M\left(\int_{\Omega}|\nabla u|^2dx\right)\Delta u=\phi |u|^{2^*-3}u+\lambda|u|^{p-2}u, &\rm \mathrm{in ...
Ying Zhou +3 more
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Advanced Nonlinear Studies, 2021 We study the asymptotic profile, as ℏ→0{\hbar\rightarrow 0}, of positive solutions ...
Cassani Daniele, Wang Youjun
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, 1975 http://babel.hathitrust.org/cgi/pt?id=mdp.39015007423828;view=2up;ui=fullscreen#page/n0/mode ...
Symposium on Craniofacial Growth
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Electronic Journal of Qualitative Theory of Differential Equations, 2017 In this paper, we study the following Schrödinger–Poisson system \begin{equation*} \begin{cases} -\Delta u+u+\mu \phi u=\lambda f(x,u)+u^5\quad & \mbox{in }\mathbb{R}^3,\\ -\Delta \phi=\mu u^2\quad & \mbox{in }\mathbb{R}^3, \end{cases} \end{equation ...
Yiwei Ye
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Concentration results for a magnetic Schrödinger-Poisson system with critical growth
Advances in Nonlinear Analysis, 2020 This paper is concerned with the following nonlinear magnetic Schrödinger-Poisson type ...
Liu Jingjing, Ji Chao
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Open MathematicsIn this article, we investigate the following nonlinear Kirchhoff equation with Sobolev critical growth: −a+b∫R3∣∇u∣2dxΔu+λu=μf(u)+∣u∣4u,inR3,u>0,∫R3∣u∣2dx=m2,inR3,(Pm)\left\{\begin{array}{l}-\left(a+b\mathop{\displaystyle \int }\limits_{{{\mathbb{R ...
Zhang Shiyong, Zhang Qiongfen
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N-Laplacian equations in ℝN with critical growth
Abstract and Applied Analysis, 1997 We study the existence of nontrivial solutions to the following problem: {u∈W1,N(ℝN),u≥0 and−div(|∇u|N−2∇u)+a(x)|u|N−2u=f(x,u) in ℝN(N≥2), where a is a continuous function which is coercive, i.e., a(x)→∞ as |x|→∞ and the nonlinearity f behaves like ...
João Marcos B. do Ó
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Adolescents with high‐risk cancer face complex developmental, psychosocial, and ethical challenges that extend beyond disease‐directed treatment. Although international recommendations exist for communication, psychosocial care, pediatric palliative care, survivorship, and shared decision‐making, these have largely evolved within ...
Johanna M. C. Blom +15 more
wiley +1 more source
Advances in Nonlinear Analysis, 2021 We are concerned with a class of Choquard type equations with weighted potentials and Hardy–Littlewood–Sobolev lower critical ...
Zhou Shuai, Liu Zhisu, Zhang Jianjun
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