Results 131 to 140 of about 450,232 (306)
Critical point theory for perturbations of symmetric functionals
Commentarii Mathematici Helvetici, 1996 The author gives conditions on the existence of infinitely many critical points for functionals which are not invariant relative to transformation groups \(G\). On the basis of the notions of absolute and relative versions of the \(G\)-capacity, a general critical point theorem for perturbations of symmetric functions on a Banach manifold is proved ...
openaire +1 more source
Nonsmooth critical point theory and nonlinear boundary value problems
, 2004 Starting in the early 1980s, people using the tools of nonsmooth analysis developed some remarkable nonsmooth extensions of the existing critical point theory.
Gasinski, Leszek +1 more
core
Oncogenic DMTF1β promotes cancer cell motility by regulating autophagy through ULK1 stabilization
Molecular Oncology, EarlyView.In the current study, we demonstrate that the oncogene DMTF1β regulates ULK1 stability by reducing its proteasomal degradation in cancer cells. This stabilization enables ULK1 to induce autophagy, which in turn facilitates cancer cell migration. Consequently, reduced DMTF1β levels lead to decreased autophagy and impaired cancer cell migration.
Jun Xu +13 more
wiley +1 more source
Multiple solutions of nonlinear fractional elliptic equations via Morse theory
Electronic Journal of Differential Equations, 2017 This article concerns the existence and multiplicity of weak solutions of the nonlinear fractional elliptic problem. We extend some well known results of semilinear Laplacian equations to the nonlocal fractional setting. Using the variational methods
Wei Qi, Lin Zhao, Xingjie Yan
doaj
Tumor B‐cell infiltration in platinum‐treated advanced muscle‐invasive urothelial carcinoma
Molecular Oncology, EarlyView.Bladder tumors with higher pretreatment memory B‐cell infiltration were linked to longer survival after cisplatin chemotherapy, but not carboplatin. These tumors also showed more organized immune structures (tertiary lymphoid structures) and a shared pro‐inflammatory B‐cell‐rich community, suggesting that memory B cells may help identify patients most ...
Konrad Stawiski +10 more
wiley +1 more source
Rotationally invariant periodic solutions of semilinear wave equations
Abstract and Applied Analysis, 1998 Martin Schechter
doaj +1 more source
Breakdown Point Theory for Implied Probability Bootstrap [PDF]
This paper studies robustness of bootstrap inference methods under moment conditions. In particular, we compare the uniform weight and implied probability bootstraps by analyzing behaviors of the bootstrap quantiles when outliers take arbitrarily large ...
Lorenzo Camponovo, Taisuke Otsu
core
Loss of proton‐sensing TDAG8 increases tumor progression in mouse models of colon cancer
Molecular Oncology, EarlyView.Loss of the pH‐sensing receptor TDAG8 accelerates colorectal cancer progression in mice. Animals lacking TDAG8 expression had increased tumor growth, DNA damage, and recruitment of tumor‐associated immune cells, including macrophages, neutrophils, and monocytes.
Ermanno Malagola +11 more
wiley +1 more source
Existence of multiple solutions for quasilinear diagonal elliptic systems
Electronic Journal of Differential Equations, 1999 Nonsmooth-critical-point theory is applied in proving multiplicity results for the quasilinear symmetric elliptic system $$ -sum_{i,j=1}^{n}D_j(a^{k}_{ij}(x,u)D_iu_k)+ {1over 2}sum_{i,j=1}^{n}sum_{h=1}^N D_{s_k}a^{h}_{ij}(x,u)D_iu_hD_ju_h=g_k(x,u ...
Marco Squassina
doaj
Molecular Oncology, EarlyView.Drug resistance limits treatment success in a subset of lung cancers driven by ROS1 gene alterations. Using patient‐derived cells and computer simulations, we studied three key mutations and how they affect five targeted drugs. The mutations reduced drug effectiveness in different ways by altering protein structure and behavior.
Farhan Ul Haq +8 more
wiley +1 more source