Results 61 to 70 of about 33,308 (294)
In this paper, we investigate the existence of nontrivial solutions to the following fractional p-Laplacian system with homogeneous nonlinearities of critical Sobolev growth:
Lu Guozhen, Shen Yansheng
doaj +1 more source
Mapping the evolution of mitochondrial complex I through structural variation
Respiratory complex I (CI) is crucial for bioenergetic metabolism in many prokaryotes and eukaryotes. It is composed of a conserved set of core subunits and additional accessory subunits that vary depending on the organism. Here, we categorize CI subunits from available structures to map the evolution of CI across eukaryotes. Respiratory complex I (CI)
Dong‐Woo Shin +2 more
wiley +1 more source
Cells must clear mislocalized or faulty proteins from membranes to survive. The AAA+ ATPase Msp1 performs this task, but dissecting how its six subunits work together is challenging. We engineered linked dimers with varied numbers of functional subunits to reveal how Msp1 subunits cooperate and use energy to extract proteins from the lipid bilayer ...
Deepika Gaur +5 more
wiley +1 more source
Phototrophs evolved light‐harvesting systems adapted for efficient photon capture in habitats enriched in far‐red radiation. A subset of eukaryotic pigment‐binding proteins can absorb far‐red photons via low‐energy chlorophyll states known as red forms.
Antonello Amelii +8 more
wiley +1 more source
AbstractWe obtain critical embeddings and the concentration-compactness principle for the anisotropic variable exponent Sobolev spaces. As an application of these results,we confirm the existence of and find infinitely many nontrivial solutions for a class of nonlinear critical anisotropic elliptic equations involving variable exponents and two real ...
Nabil Chems Eddine +2 more
openalex +4 more sources
Concentration-compactness principle for variable exponent spaces and applications
In this article, we extend the well-known concentration - compactness principle by Lions to the variable exponent case. We also give some applications to the existence problem for the p(x)-Laplacian with critical growth.
Julian Fernandez Bonder, Analia Silva
doaj
On a study and applications of the Concentration-compactness type principle for Systems with critical terms in $\mathbb{R}^{N}$ [PDF]
Lauren Maria Mezzomo Bonaldo +2 more
openalex +1 more source
Existence of maximizers for Hardy-Littlewood-Sobolev inequalities on the Heisenberg group [PDF]
In this paper, we investigate the sharp Hardy-Littlewood-Sobolev inequalities on the Heisenberg group. On one hand, we apply the concentration compactness principle to prove the existence of the maximizers. While the approach here gives a different proof
Han, Xiaolong
core
Concentration-compactness at the mountain pass level in semilinear elliptic problems
The concentration compactness framework for semilinear elliptic equations without compactness, set originally by P.-L.Lions for constrained minimization in the case of homogeneous nonlinearity, is extended here to the case of general nonlinearities in ...
TIntarev, Kyril
core +2 more sources
A Cre‐dependent lentiviral vector for neuron subtype‐specific expression of large proteins
We designed a versatile and modular lentivector comprising a Cre‐dependent switch and self‐cleaving 2A peptide and tested it for co‐expression of GFP and a 2.8 kb gene of interest (GOI) in mouse cortical parvalbumin (PV+) interneurons and midbrain dopamine (TH+) neurons.
Weixuan Xue +6 more
wiley +1 more source

