Results 81 to 90 of about 211,517 (279)
Hölder Regularity of Solutions to Second-Order Elliptic Equations in Nonsmooth Domains
Boundary Value Problems, 2007 We establish the global Hölder estimates for solutions to second-order elliptic equations, which vanish on the boundary, while the right-hand side is allowed to be unbounded.
Safonov Mikhail, Cho Sungwon
doaj
Chirality and Organization of Adsorbates Modify Surface Phonon Dynamics
Advanced Functional Materials, EarlyView.Chirality and molecular organization are shown to influence surface phonon dynamics in gold films. Time‐resolved Joule heating measurements reveal that ordered homochiral monolayers increase the Debye temperature and disordered layers reduce it, while ordered racemic controls have no effect.
Meital Ozeri +6 more
wiley +1 more source
Oscillation for quasilinear elliptic equations with p(x)-Laplacians in general domains
Electronic Journal of Differential Equations, 2013 Oscillation of quasilinear elliptic equations with p(x)-Laplacians in general domains are derived by the variational approach as applications of Picone identity. Three examples are given, and generalizations to quasilinear elliptic equations with $p(x)
Norio Yoshida
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Gradient bounds for solutions of nonlinear strictly elliptic equations, applications and extensions
ITM Web of Conferences, 2018 In this short manuscript, we briefly recall some well-known methods for obtaining gradient bounds of viscosity solutions for elliptic and parabolic equations.
Duc Nguyen Vinh
doaj +1 more source
Advanced Healthcare Materials, EarlyView.Wound closure is governed by geometry‐orientation coupling: aligned fibers speed migration along their axis but hinder perpendicular advance. In vivo diabetic wound experiments with composition‐matched fibrin, combined with an anisotropic diffusion (biased random‐walk) model, quantify this trade‐off and generate a healing landscape.
Yin‐Yuan Huang +13 more
wiley +1 more source
survey on boundary regularity for the fractional p-Laplacian and its applications
Bruno Pini Mathematical Analysis SeminarWe survey some recent regularity results for fractional p-Laplacian elliptic equations, especially focusing on pure and weighted boundary Hölder continuity of the solutions of related Dirichlet problems. Then, we present some applications of such results
Antonio Iannizzotto
doaj +1 more source
Existence of Classical Solutions for Nonlinear Elliptic Equations with Gradient Terms. [PDF]
Entropy (Basel), 2022 Li Y, Ma W.
europepmc +1 more source
Weierstrass elliptic difference equations [PDF]
Bulletin of the Australian Mathematical Society, 1987 The Weierstrass elliptic function satisfies a nonlinear first order and a nonlinear second order differential equation. It is shown that these differential equations can be discretized in such a way that the solutions of the resulting difference equations exactly coincide with the corresponding values of the elliptic function.
openaire +2 more sources
Enhanced Endoscopic Internal Drainage of Gastric Abscess Through Additively Manufactured Stents
Advanced Healthcare Materials, EarlyView.Postoperative gastric leaks are often treated with off‐label biliary double‐pigtail stents, yet conventional extruded designs are not optimized for leak anatomy, can migrate, and may limit abscess evacuation. PETALS is introduced to optimize transmural drainage geometry and enable patient‐specific 3D‐printable stents.
Parima Phowarasoontorn +14 more
wiley +1 more source
Degenerate Differential Operators with Parameters
Abstract and Applied Analysis, 2007 The nonlocal boundary value problems for regular degenerate differential-operator equations with the parameter are studied. The principal parts of the appropriate generated differential operators are non-self-adjoint.
Veli B. Shakhmurov
doaj +1 more source