Results 81 to 90 of about 3,531,413 (264)

Multiplicity of solutions for quasilinear elliptic problems involving $\Phi$-Laplacian operator and critical growth

Electronic Journal of Qualitative Theory of Differential Equations, 2019
In this paper, we study a class of quasilinear elliptic equations with $\Phi$-Laplacian operator and critical growth. Using the symmetric mountain pass theorem and the concentration-compactness principle, we demonstrate that there exists $\lambda_i>0 ...
Xuewei Li, Gao Jia
doaj   +1 more source

ADP‐ribosylation: An emerging regulator of the epigenome

Molecular Oncology, EarlyView.
ADP‐ribosylation has emerged as a dynamic epigenetic signaling mechanism that modifies histones and chromatin‐associated proteins. Through coordinated PARylation and MARylation, it integrates with other histone modifications to regulate chromatin structure, transcription factor activity, and gene expression, influencing genome function and disease ...
Cristel V. Camacho, Chenqian Liu, W. Lee Kraus   +2 more
wiley   +1 more source

Uniform Concentration-Compactness for Sobolev Spaces on Variable Domains [PDF]

, 2000
We present a new method for proving existence results in shape optimization problems involving the eigenvalues of the Dirichlet–Laplace operator. This method brings together the γ-convergence theory and the concentration-compactness principle.
Bucur, Dorin
core   +1 more source

Existence of positive solutions to Kirchhoff type problems involving singular and critical nonlinearities

Electronic Journal of Differential Equations, 2018
In this study, we study a Kirchhoff type problem involving singular and critical nonlinearities. With aid of variational methods and concentration compactness principle, we prove that the problem admits a weak solution.
Chun-Yu Lei, Gao-Sheng Liu
doaj  

Existence of multiple solutions for a quasilinear Neumann problem with critical exponent

Boundary Value Problems, 2018
The main purpose of this paper is to establish the existence and multiplicity of nontrivial solutions for a quasilinear Neumann problem with critical exponent.
Yuanxiao Li, Suxia Xia
doaj   +1 more source

Partial FAK suppression promotes tumor growth, an effect reversed by macrophage p110δ PI3K inactivation

Molecular Oncology, EarlyView.
Partial inhibition of focal adhesion kinase (FAK) can paradoxically promote tumor growth, rather than simply producing a weaker antitumor effect than that observed with strong FAK suppression. In breast cancer and melanoma models, targeting p110δ PI3K, particularly in macrophages, counteracted these tumor‐promoting effects, highlighting the importance ...
Lydia Xenou, Niki Tzenaki, Anna Tsapara, Maria Tzardi, Evangelia A. Papakonstanti   +4 more
wiley   +1 more source

The Liouville Equation with Singular Data: A Concentration-Compactness Principle via a Local Representation Formula

Journal of Differential Equations, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
BARTOLUCCI, DANIELE, TARANTELLO, GABRIELLA   +1 more
openaire   +2 more sources

Arginine methylation as a regulatory ratchet in cancer: From substrate selection to malignant‐state stabilization

Molecular Oncology, EarlyView.
Arginine methylation can be viewed as a persistence‐prone post‐translational modification regulated by a network of PRMTs. Competitive and compensatory interactions among PRMTs can redistribute methylation across substrate pools shaped by sequence, structural, spatial, and environmental layers, reinforcing RNA‐processing, chromatin, and signaling ...
So Hyun Kwon, Ji Min Lee
wiley   +1 more source

A Nonhomogeneous Fractional p-Kirchhoff Type Problem Involving Critical Exponent in ℝN

Advanced Nonlinear Studies, 2017
This paper concerns itself with the nonexistence and multiplicity of solutions for the following fractional Kirchhoff-type problem involving the critical Sobolev exponent:
Xiang Mingqi, Zhang Binlin, Zhang Xia
doaj   +1 more source

Nonlinear boundary value problems of a class of elliptic equations involving critical variable exponents

Boundary Value Problems, 2019
In this paper, we first obtain the existence of solutions for a class of elliptic equations involving critical variable exponents and nonlinear boundary values by the mountain pass theorem and concentration compactness principle.
Yingying Shan, Yongqiang Fu
doaj   +1 more source