Results 61 to 70 of about 11,751,266 (377)
Ground state solutions for nonlinear fractional Schrodinger equations involving critical growth
Electronic Journal of Differential Equations, 2017 This article concerns the ground state solutions of nonlinear fractional Schrodinger equations involving critical growth. We obtain the existence of ground state solutions when the potential is not a constant and not radial.
Hua Jin, Wenbin Liu
doaj
Critical condition for growth of silicon nanowires [PDF]
Journal of Applied Physics, 2007 The existence of a critical radius on the growth of Si nanowires by the vapor-liquid-solid mechanism is examined. By varying the experimental growth parameters, we have shown a dependence of the minimum nanowires radius with the Si reactive species partial pressure, demonstrating that the critical radius is not a limited one.
Dhalluin, Florian +6 more
openaire +4 more sources
Concentration Phenomena for Fractional Elliptic Equations Involving Exponential Critical Growth [PDF]
, 2015 In this paper, we deal with the singular perturbed fractional elliptic problem ε(-Δ)1/2u+V(z)u=f(u)$\varepsilon(-\Delta)^{1/2}{u}+V(z)u=f(u)$ in ℝ$\mathbb{R}$, where (-Δ)1/2u${(-\Delta)^{1/2}u}$ is the square root of the Laplacian and f(s)${f(s)}$
C. O. Alves, J. do Ó, O. Miyagaki
semanticscholar +1 more source
FEBS Letters, EarlyView.The glacier ice worm Mesenchytraeus solifugus survives year‐round at 0 °C. Its ATP6 subunit, which forms a regulatory component of the proton pore in mitochondrial ATP synthase, has a carboxy‐terminal extension not found in any other organism examined to date. Here, we show that fusion of this extension to the homologous AtpB protein in E. coli results
Truman Dunkley +2 more
wiley +1 more source
Sign-changing solutions for Schrödinger system with critical growth
Electronic Research Archive, 2022 We consider the following Schrödinger system $ \begin{equation*} \left\{ \begin{aligned} &-\Delta u_j = \sum\limits_{i = 1}^k \beta_{ij}|u_i|^3|u_j|u_j+\lambda_j|u_j|^{q-2}u_j, \ \ \ \text{in}\, \, \Omega, \\ &u_j = 0\quad\text{on ...
Changmu Chu +2 more
doaj +1 more source
Probabilistic aspects of critical growth-fragmentation equations [PDF]
Advances in Applied Probability, 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.
J. Bertoin, A. Watson
semanticscholar +1 more source
FEBS Letters, EarlyView.Low‐density lipoprotein receptor‐related protein 6 (LRP6) is a key receptor for the Wnt antagonist Dickkopf1 (DKK1). DKK1 protein expression is induced in a bleomycin (BLM)‐induced lung injury model. We show that DKK1 induces proinflammatory and profibrotic genes in lung fibroblasts.
Eun‐Ah Sung +6 more
wiley +1 more source
Effects of grain size distribution on the interstellar dust mass growth [PDF]
, 2011 Grain growth by the accretion of metals in interstellar clouds (called `grain growth') could be one of the dominant processes that determine the dust content in galaxies. The importance of grain size distribution for the grain growth is demonstrated in this paper.
arxiv +1 more source
Multiplicity results for double phase problems involving a new type of critical growth [PDF]
arXiv, 2023 Using variational methods, we obtain several multiplicity results for double phase problems that involve variable exponents and a new type of critical growth. This new critical growth is better suited for double phase problems when compared to previous works on the subject.
arxiv
Existence of positive solutions to perturbed nonlinear Dirichlet problems involving critical growth
Electronic Journal of Differential Equations, 2017 We consider the following perturbed nonlinear elliptic problem with critical growth $$\displaylines{ -\varepsilon^2\Delta u+V(x)u=f(x)|u|^{p-2}u +\frac{\alpha}{\alpha+\beta}K(x)|u|^{\alpha-2}u|v|^\beta,\quad x\in \mathbb{R}^N,\cr -\varepsilon^2 ...
Huixing Zhang, Ran Zhang
doaj