Results 131 to 140 of about 65,332 (306)

Laplace problem with an exponential nonlinear boundary condition

In this paper, we establish a new result for the Laplace problem with exponential Robin boundary conditions posed on the unit disk in $\R^2$. More precisely, we prove the existence and uniqueness of a solution under suitable smallness assumptions on the boundary data.
Benameur, Jamel, Elhechmi, Chokri, Benhenda, Gmar   +2 more
openaire   +2 more sources

Nonlinear Elliptic Equations with Singular Boundary Conditions

Journal of Mathematical Analysis and Applications, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Decellularized Extracellular Matrix (dECM) in Tendon Regeneration: A Comprehensive Review

Advanced Healthcare Materials, EarlyView.
Decellularized Extracellular Matrix (dECM) offers a promising solution by replicating the native tendon microenvironment and promoting regeneration. This review highlights advances in the decellularization methods, as well as their integration with emerging technologies and translational progress in tendon tissue engineering.
Kumaresan Sakthiabirami, Yeonwoo Park, Seong Kyeong Jo, Min Hee Kim, Jae Hwang Song   +4 more
wiley   +1 more source

Cellular Responses to Mechanical Cues Across Scales: From Fundamental Insights to Translational Potential

Advanced Healthcare Materials, EarlyView.
This review examines how cellular behavior is regulated by mechanical cues transmitted through soft biomaterials, from single‐cell mechanosensing to tissue‐level adaptation. It highlights why physiological relevance, rather than model complexity alone, is critical for translational mechanobiology and introduces a scoring framework linking material ...
Mathias Polz, Manuel P. Kainz, Niklas Haider, Theresa Rienmüller, Kerstin Lenk, Rupert Kargl, Michele Terzano, Gerhard Sommer, Gerhard A. Holzapfel, Julia Fuchs   +9 more
wiley   +1 more source

A Signed Maximum Principle for Boundary Value Problems for Riemann–Liouville Fractional Differential Equations with Analogues of Neumann or Periodic Boundary Conditions

Mathematics
Sufficient conditions are obtained for a signed maximum principle for boundary value problems for Riemann–Liouville fractional differential equations with analogues of Neumann or periodic boundary conditions in neighborhoods of simple eigenvalues.
Paul W. Eloe, Yulong Li, Jeffrey T. Neugebauer   +2 more
doaj   +1 more source

Global existence and blow-up results for p-Laplacian parabolic problems under nonlinear boundary conditions. [PDF]

J Inequal Appl, 2018
Ding J.
europepmc   +1 more source

Existence and uniqueness of monotone positive solutions for an elastic beam equation with nonlinear boundary conditions

, 2012
This paper is concerned with the existence and uniqueness of monotone positive solutions for an elastic beam equation with nonlinear boundary conditions.
Li, Shunyong, Xiaoqin Zhang, Shunyong Li, Zhang, Xiaoqin   +3 more
core   +1 more source

On Nonlinear Parabolic Equations with Nonlocal Boundary Condition

Journal of Mathematical Analysis and Applications, 1994
Let \(\emptyset \neq \Omega \subset \mathbb{R}^ n\) be a bounded domain with \(C^ 2\)-boundary and \(T > 0\). Of concern is the semilinear second order initial-boundary value problem \[ \begin{alignedat}{2} \partial_ tu(t,x) - A(t)u(t,x) & = f \bigl( t,x,u(t,x) \bigr), &\qquad (t,x) &\in (0,T) \times \Omega, \\ u(t,x) & = \int_ \Omega \Phi (x,y) u(t,y)
openaire   +1 more source

Nanoplatforms for Sentinel and Tumor‐Draining Lymph Node Mapping: From Visualization to Pathway‐Informed Staging

Advanced Healthcare Materials, EarlyView.
Lymphotropic nanoplatforms integrate multimodal imaging with therapeutic guidance to map sentinel and tumor‐draining lymph nodes, revealing functional drainage, metastatic involvement, and nodal accessibility, while providing mechanistic insight to support precision surgical and therapeutic interventions.
Xu Chen, Nina Li, Meiyan Zou, Zihao Zhou, Rongwei Xu, Weiyao Feng, Xinyuan Zhao, Li Cui   +7 more
wiley   +1 more source

Quadratic approximation of solutions for differential equations with nonlinear boundary conditions

, 2004
The quasilinearization method is used for nonlinear ordinary differential equations with nonlinear boundary conditions. Given are sufficient conditions when corresponding monotone sequences converge to the unique solution and this convergence is ...
Jankowski, T.
core   +1 more source