Results 71 to 80 of about 6,692,173 (358)

Symmetry via antisymmetric maximum principles in nonlocal problems of variable order [PDF]

, 2014
We consider the nonlinear problem $$\begin{aligned} (P)\qquad \left\{ \begin{array}{ll} I u=f(x,u)&{} \quad \text { in } \ \Omega ,\\ u=0 &{}\quad \text { on } \ \mathbb {R}^{N}{\setminus }\Omega \\ \end{array}\right.
Sven Jarohs, T. Weth
semanticscholar   +1 more source

Olaparib synergy screen reveals Exemestane induces replication stress in triple‐negative breast cancer

Molecular Oncology, EarlyView.
Screening 166 FDA‐approved anticancer drugs identifies the aromatase inhibitor Exemestane as a synergistic partner of PARP inhibitor Olaparib in BRCA‐proficient triple‐negative breast cancer. Exemestane induces ROS‐mediated replication stress, enhancing DNA damage and apoptosis alongside Olaparib.
Nur Aininie Yusoh, Liping Su, Suet Lin Chia, Xiaohe Tian, Haslina Ahmad, Martin R. Gill   +5 more
wiley   +1 more source

Optimal Conditions for Maximum and Antimaximum Principles of the Periodic Solution Problem

Boundary Value Problems, 2010
Given a periodic, integrable potential q(t), we will study conditions on q(t) so that the operator Lqx=x″+qx admits the maximum principle or the antimaximum principle with respect to the periodic boundary condition.
Meirong Zhang
doaj   +2 more sources

The maximum principle for equations with composite coefficients

Electronic Journal of Differential Equations, 2000
It is well-known that the maximum of the solution of a linear elliptic equation can be estimated in terms of the boundary data provided the coefficient of the gradient term is either integrable to an appropriate power or blows up like a small negative ...
Gary M. Lieberman
doaj  

The effects of nonlinear perturbation terms on comparison principles for the -Laplacian

Bulletin of Mathematical Sciences
In this paper, we investigate various comparison principles for quasilinear elliptic equations of [Formula: see text]-Laplace type with lower-order terms that depend on the solution and its gradient.
Ahmed Mohammed, Antonio Vitolo
doaj   +1 more source

Maximum principles, Liouville theorem and symmetry results for the fractional $g-$Laplacian [PDF]

, 2021
Sandra M. Molina, A. Salort, H. Vivas
semanticscholar   +1 more source

A remark on Einstein warped products

, 2010
We prove triviality results for Einstein warped products with non-compact bases. These extend previous work by D.-S. Kim and Y.-H. Kim. The proof, from the viewpoint of "quasi-Einstein manifolds" introduced by J. Case, Y.-S. Shu and G.
Besse, Galloway, Gilbarg, Michele Rimoldi, Setti   +4 more
core   +1 more source

Decrypting cancer's spatial code: from single cells to tissue niches

Molecular Oncology, EarlyView.
Spatial transcriptomics maps gene activity across tissues, offering powerful insights into how cancer cells are organised, switch states and interact with their surroundings. This review outlines emerging computational, artificial intelligence (AI) and geospatial approaches to define cell states, uncover tumour niches and integrate spatial data with ...
Cenk Celik, Shi Pan, Eloise Withnell, Hou Wang Lam, Maria Secrier   +4 more
wiley   +1 more source

Remarks on comparison principles for -Laplacian with extension to -Laplacian

Bulletin of Mathematical Sciences
Our purpose is to generalize some recent comparison principles for operators driven by [Formula: see text]-Laplacian to a wide class of quasilinear equations including [Formula: see text]-Laplacian.
Ahmed Mohammed, Antonio Vitolo
doaj   +1 more source

The classical overdetermined Serrin problem

, 2017
In this survey we consider the classical overdetermined problem which was studied by Serrin in 1971. The original proof relies on Alexandrov's moving plane method, maximum principles, and a refinement of Hopf's boundary point Lemma.
Nitsch, C., Trombetti, C.
core   +1 more source