Results 31 to 40 of about 25,464 (224)

Equations involving fractional Laplacian operator: Compactness and application

, 2015
In this paper, we consider the following problem involving fractional Laplacian operator: \begin{equation}\label{eq:0.1} (-\Delta)^{\alpha} u= |u|^{2^*_\alpha-2-\varepsilon}u + \lambda u\,\, {\rm in}\,\, \Omega,\quad u=0 \,\, {\rm on}\, \, \partial\Omega,
Yan, Shusen, Yang, Jianfu, Yu, Xiaohui
core   +1 more source

Lower Semicontinuity of Functionals via the Concentration-Compactness Principle

Journal of Mathematical Analysis and Applications, 2001
AbstractIn this paper we show the weak lower semicontinuity of some classes of functionals, using the concentration-compactness principle of P. L. Lions. These functionals involve an integral term, and we do not know whether it can be handled by the De Giorgi theorem.
openaire   +2 more sources

Combining transient dynamics and logistic‐asymptotic growth to study the recovery of two seabird populations after rat eradication

Population Ecology, EarlyView.
This study examines the demographic dynamics of two seabird populations on Tromelin Island, 15 years after the eradication of brown rats. The results indicate that these populations are in good health and are expected to continue growing until breeding sites are saturated in about a century.
Merlène Saunier, Christophe Barbraud, Maxime Amy, Sabine Orlowski, Jean Hivert, Gabrielle Dicque, Matthieu Le Corre   +6 more
wiley   +1 more source

Making tau amyloid models in vitro: a crucial and underestimated challenge

FEBS Letters, EarlyView.
This review highlights the challenges of producing in vitro amyloid assemblies of the tau protein. We review how accurately the existing protocols mimic tau deposits found in the brain of patients affected with tauopathies. We discuss the important properties that should be considered when forming amyloids and the benchmarks that should be used to ...
Julien Broc, Clara Piersson, Yann Fichou
wiley   +1 more source

Concentration-Compactness Principle for Moser-type Inequalities in Lorentz-Sobolev Spaces

Potential Analysis, 2015
Let n ∈ 𝜖, n ≥ 2, q ∈ (1, ∞) and let ${\Omega }\subset \mathbb {R}^{n}$ be an open bounded set. We study the Concentration-Compactness Principle for the embedding of the Lorentz-Sobolev space
Li Dongliang, Zhu Maochun
openaire   +4 more sources

Groundstates for a local nonlinear perturbation of the Choquard equations with lower critical exponent

, 2017
We prove the existence of ground state solutions by variational methods to the nonlinear Choquard equations with a nonlinear perturbation \[ -{\Delta}u+ u=\big(I_\alpha*|u|^{\frac{\alpha}{N}+1}\big)|u|^{\frac{\alpha}{N}-1}u+f(x,u)\qquad \text{ in ...
Van Schaftingen, Jean, Xia, Jiankang
core   +1 more source

Identification of novel small molecule inhibitors of ETS transcription factors

FEBS Letters, EarlyView.
ETS transcription factors play an essential role in tumourigenesis and are indispensable for sprouting angiogenesis, a hallmark of cancer, which fuels tumour expansion and dissemination. Thus, targeting ETS transcription factor function could represent an effective, multifaceted strategy to block tumour growth. The evolutionarily conserved E‐Twenty‐Six
Shaima Abdalla, Zary Forghany, Jin Ma, Johan G. Hollander, Ruta Nachane, Karoly Szuhai, Pancras C. W. Hogendoorn, Peter ten Dijke, Dipen Shah, David A. Baker   +9 more
wiley   +1 more source

Nonlinear stabilitty for steady vortex pairs

, 2012
In this article, we prove nonlinear orbital stability for steadily translating vortex pairs, a family of nonlinear waves that are exact solutions of the incompressible, two-dimensional Euler equations.
A.L. Mazzucato, C. Marchioro, D. Pullin, E. Overman, E.H. Lieb, G.R. Burton, G.R. Burton, G.R. Burton, G.R. Burton, Geoffrey R. Burton, H.C. Pocklington, H.K. Moffatt, Helena J. Nussenzveig Lopes, J. Duc, J. Norbury, J. Yang, J. Yang, M.C. Lopes Filho, M.C. Lopes Filho, Milton C. Lopes Filho, P.-L. Lions, R. Pierrehumbert, R.J. DiPerna, R.J. Douglas, S. Agmon, Y.H. Wan   +25 more
core   +1 more source

A cellular system to study responses to a collision between the transcription complex and a protein‐bound nick in the DNA template

FEBS Letters, EarlyView.
We present the cellular transcription‐coupled Flp‐nick system allowing the introduction of a Top1‐mimicking cleavage complex (Flpcc) at a Flp recognition target site within a controllable LacZ gene. LacZ transcription leads to the collision of RNA polymerase II (RNAPII) with Flpcc, and this causes RNAPII stalling, ubiquitination, and degradation.
Petra Herring, Morten Roedgaard, Camilla Myrup Holst, Helene Christensen, Birgitta R. Knudsen, Lotte Bjergbaek, Anni Hangaard Andersen   +6 more
wiley   +1 more source

The concentration-compactness principle for the nonlocal anisotropic p-Laplacian of mixed order

Nonlinear Analysis, 2023
19 ...
Chaker, Jamil, Kim, Minhyun, Weidner, Marvin   +2 more
openaire   +3 more sources