Results 31 to 40 of about 20,082 (264)

A strong comparison principle for the $p$-Laplacian [PDF]

Proceedings of the American Mathematical Society, 2007
Summary: We consider weak solutions of the differential inequality of \(p\)-Laplacian type \[ -\Delta_p u - f(u) \leq - \Delta_p v - f(v) \] such that \(u\leq v\) on a smooth bounded domain in \(\mathbb R^N\) and either \(u\) or \(v\) is a weak solution of the corresponding Dirichlet problem with zero boundary condition.
ROSELLI, PAOLO, Sciunzi, B.
openaire   +4 more sources

Discrete 2D Material Programming for 3D Shaping and Morphogenesis‐Inspired 4D Bioprinting

Advanced Science, EarlyView.
Cell‐compatible discrete 2D material programming enables 2‐to‐3D shape transformation and morphogenesis‐inspired 4D bioprinting. By patterning cell‐supportive microdomains within a responsive hydrogel, the approach programs in‐plane growth to encode target metrics.
Fereshteh Family, Aneela Davuluri, Athulya Martin, Kyungsuk Yum   +3 more
wiley   +1 more source

Polarization Holographic 4D Phenotyping Reveals Nanoplastic Induced Dysfunction in Zooplankton

Advanced Science, EarlyView.
Contaminant‐induced dysfunction in complex aquatic organisms remains difficult to resolve across scales. Polarization Holographic Imaging Microscopy (PHIM) integrates polarization‐sensitive holography with computational volumetric reconstruction for label‐free phenotyping of zooplankton in natural seawater, revealing that nanoplastic stress drives ...
Yuxing Li, Yanmin Zhu, Jingyan Chen, Rongzhou Chen, Yuen‐Wa Ho, Chutian Wang, James Kar‐Hei Fang, Kevin K. Tsia, Edmund Y. Lam   +8 more
wiley   +1 more source

Double Reduction of Ph3B to a Dianionic Borane With a Powerful SrI Intermediate

Angewandte Chemie, EarlyView.
Although dianionic boranes follow the octet rule and are isoelectronic to carbanions or amines, the high electron density combined with the electropositive nature of the B center make them highly unstable species. In this study, we present synthesis and full characterization of a complex in which Ph3B2− is sandwiched between two Sr2+ ions and describe ...
Michael Morasch, Marcel A. Schmidt, Tanuja Tewari, Jens Langer, Sjoerd Harder   +4 more
wiley   +2 more sources

Resonance Problems for the p-Laplacian

Journal of Functional Analysis, 1999
Using variational arguments the authors prove the existence of a weak solution for the boundary value problem \[ \begin{cases} -\Delta_p u-\lambda|u|^{p-2}u+f(x,u)=0\quad&\text{in }\Omega,\\ u=0\quad&\text{on }\partial\Omega,\end{cases} \] where \(\Delta_p u=\)div\((|Du|^{p-2}Du)\), \(p>1\), \(\Omega\) is a bounded domain of \(\mathbb R^N\), \(\lambda ...
Drábek, Pavel, Robinson, Stephen B.
openaire   +1 more source

Maximal operators for the p-Laplacian family [PDF]

Pacific Journal of Mathematics, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Blanc, Pablo, Pinasco, Juan Pablo, Rossi, Julio Daniel   +2 more
openaire   +3 more sources

AARS2‐SIRT5‐Driven DLD K445 Lactylation Promotes Cuproptosis Resistance in Glioblastoma Stem Cells

Advanced Science, EarlyView.
Lactylation of DLD at K445 by AARS2 suppresses PDH complex activity and reduces DLAT lipoylation, thereby conferring cuproptosis resistance in glioblastoma stem cells. SIRT5‐mediated delactylation restores PDH function and enhances cuproptosis sensitivity.
Mingtian Ding, Haibiao Xu, Cen Liu, Yangyin Ding, Shuai Wang, Jun Yin, Tao Fu, Xiao Jiang, Yuning Chen, Hui Luo, Rui Li, Zhengxin Chen, Huibo Wang   +12 more
wiley   +1 more source

Asymmetric critical p-Laplacian problems [PDF]

Calculus of Variations and Partial Differential Equations, 2018
We obtain nontrivial solutions for two types of critical $p$-Laplacian problems with asymmetric nonlinearities in a smooth bounded domain in ${\mathbb R}^N,\, N \ge 2$. For $p < N$, we consider an asymmetric problem involving the critical Sobolev exponent $p^\ast = Np/(N - p)$.
Perera, Kanishka, Yang, Yang, Zhang, Zhitao   +2 more
openaire   +3 more sources

Analytical Prediction of Critical Transitions in Oscillator Networks With Non‐Local Links

Advanced Science, EarlyView.
An analytical framework reveals how global coupling, second‐harmonic strength, noise, and network structure govern oscillator‐based Ising dynamics. Spectral reduction predicts stability boundaries, while Fokker–Planck analysis captures one‐ to two‐cluster transitions and identifies conditions favoring low‐energy configurations.
Qiang Li, Chumin Sun, David Waxman, Renaud Lambiotte, Jie Sun, Peng Ji   +5 more
wiley   +1 more source

Some Liouville theorems for the p-Laplacian

Electronic Journal of Differential Equations, 2002
In this paper we propose a new proof for non-linear Liouville type results concerning the $p$-Laplacian. Our method differs from the one used by Mitidieri and Pohozaev because it uses a comparison principle that can be applied to nondivergence form ...
Isabeau Birindelli, Francoise Demengel
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