Results 41 to 50 of about 107,538 (250)
Concentration analysis and cocompactness [PDF]
, 2013 Loss of compactness that occurs in may significant PDE settings can be expressed in a well-structured form of profile decomposition for sequences. Profile decompositions are formulated in relation to a triplet $(X,Y,D)$, where $X$ and $Y$ are Banach ...
C Clark +39 more
core +1 more source
Ground states for scalar field equations with anisotropic nonlocal nonlinearities [PDF]
, 2014 We consider a class of scalar field equations with anisotropic nonlocal nonlinearities. We obtain a suitable extension of the well-known compactness lemma of Benci and Cerami to this variable exponent setting, and use it to prove that the Palais-Smale ...
Iannizzotto, Antonio +2 more
core +1 more source
Semiclassical stationary states for nonlinear Schr\"odinger equations under a strong external magnetic field [PDF]
, 2015 We construct solutions to the nonlinear magnetic Schr\"odinger equation $$ \left\{ \begin{aligned} - \varepsilon^2 \Delta_{A/\varepsilon^2} u + V u &= \lvert u\rvert^{p-2} u & &\text{in}\ \Omega,\\ u &= 0 & &\text{on}\ \partial\Omega, \end{aligned}
Di Cosmo, Jonathan +1 more
core +2 more sources
Ground States for a Stationary Mean-Field Model for a Nucleon [PDF]
, 2012 In this paper we consider a variational problem related to a model for a nucleon interacting with the $\omega$ and $\sigma$ mesons in the atomic nucleus. The model is relativistic, and we study it in a nuclear physics nonrelativistic limit, which is of a
Esteban, Maria J., Nodari, Simona Rota
core +5 more sources
Concentration Compactness for the Critical Maxwell-Klein-Gordon Equation [PDF]
, 2015 We prove global regularity, scattering and a priori bounds for the energy critical Maxwell-Klein-Gordon equation relative to the Coulomb gauge on (1+4)-dimensional Minkowski space.
Krieger, Joachim, Luhrmann, Jonas
core +2 more sources
Multiple perturbations of a singular eigenvalue problem
, 2015 We study the perturbation by a critical term and a $(p-1)$-superlinear subcritical nonlinearity of a quasilinear elliptic equation containing a singular potential. By means of variational arguments and a version of the concentration-compactness principle
Cencelj, Matija +2 more
core +1 more source
Concentration compactness principles for the systems of critical elliptic equations [PDF]
Differential Equations & Applications, 2012 In this paper, some important variants of the concentration compactness principle are established. By the variants, some kinds of the elliptic systems can be investigated and the existence of nontrivial solutions to the systems can be verified by the variational methods.
openaire +2 more sources
A multiplicity result for the scalar field equation
, 2013 We prove the existence of $N - 1$ distinct pairs of nontrivial solutions of the scalar field equation in ${\mathbb R}^N$ under a slow decay condition on the potential near infinity, without any symmetry assumptions.
Perera, Kanishka
core +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
FEBS Letters, EarlyView.Interaction extracellular vesicles (iEVs) are hybrid vesicles formed through host‐pathogen communication. They facilitate immune evasion, transfer pathogens' molecules, increase host cell uptake, and enhance virulence. This Perspective article illustrates the multifunctional roles of iEVs and highlights their emerging relevance in infection dynamics ...
Bruna Sabatke +2 more
wiley +1 more source