Results 11 to 20 of about 5,391,473 (290)

Normalized solutions for critical Schrödinger equations involving (2,q)-Laplacian [PDF]

Opuscula Mathematica
In this paper, we consider the following critical Schrödinger equation involving \((2,q)\)-Laplacian: \[\begin{cases} -\Delta u-\Delta_{q} u=\lambda u+\mu |u|^{\gamma-2}u+|u|^{2^*-2}u \quad\text{in }\mathbb{R}^N, \\ \int_{\mathbb{R}^N} |u|^{2}dx=a^2,\end{
Lulu Wei, Yueqiang Song
doaj   +1 more source

Probabilistic aspects of critical growth-fragmentation equations [PDF]

, 2015
The self-similar growth-fragmentation equation describes the evolution of a medium in which particles grow and divide as time proceeds, with the growth and splitting of each particle depending only upon its size.
Bertoin, Jean, Watson, Alexander R.
core   +2 more sources

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, Yongde Zhang, Vicenţiu Rădulescu   +2 more
doaj   +1 more source

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, Jun Lei, Yue Wang, Zonghong Xiong   +3 more
doaj   +1 more source

Critical telomerase activity for uncontrolled cell growth [PDF]

Physical Biology, 2016
The lengths of the telomere regions of chromosomes in a population of cells are modelled using a chemical master equation formalism, from which the evolution of the average number of cells of each telomere length is extracted. In particular, the role of the telomere-elongating enzyme telomerase on these dynamics is investigated.
Wesch, Neil L, Burlock, Laura J, Gooding, Robert J   +2 more
openaire   +3 more sources

Ground state and multiple solutions for critical fractional Schrodinger-Poisson equations with perturbation terms

Electronic Journal of Differential Equations, 2021
In this article, we study a class of critical fractional Schrodinger-Poisson system with two perturbation terms. By using variational methods and Lusternik-Schnirelman category theory, the existence of ground state and two nontrivial solutions are ...
Lintao Liu, Kaimin Teng
doaj  

Blow-Up Phenomena and Asymptotic Profiles Passing from H1-Critical to Super-Critical Quasilinear Schrödinger Equations

Advanced Nonlinear Studies, 2021
We study the asymptotic profile, as ℏ→0{\hbar\rightarrow 0}, of positive solutions ...
Cassani Daniele, Wang Youjun
doaj   +1 more source

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
doaj   +1 more source

The stability of a rising droplet: an inertialess nonmodal growth mechanism [PDF]

, 2015
Prior modal stability analysis (Kojima et al., Phys. Fluids, vol. 27, 1984) predicted that a rising or sedimenting droplet in a viscous fluid is stable in the presence of surface tension no matter how small, in contrast to experimental and numerical ...
Gallaire, Francois, Gallino, Giacomo, Zhu, Lailai   +2 more
core   +2 more sources

Existence and concentration of solutions for nonautomous Schrödinger–Poisson systems with critical growth

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
doaj   +1 more source