Results 91 to 100 of about 6,660 (232)
Young Measures Generated by Ideal Incompressible Fluid Flows
, 2012 In their seminal paper "Oscillations and concentrations in weak solutions of the incompressible fluid equations", R. DiPerna and A. Majda introduced the notion of measure-valued solution for the incompressible Euler equations in order to capture complex ...
A. Shnirelman +21 more
core +1 more source
On the isoperimetric Riemannian Penrose inequality
Communications on Pure and Applied Mathematics, Volume 78, Issue 5, Page 1042-1085, May 2025.Abstract We prove that the Riemannian Penrose inequality holds for asymptotically flat 3‐manifolds with nonnegative scalar curvature and connected horizon boundary, provided the optimal decay assumptions are met, which result in the ADM$\operatorname{ADM}$ mass being a well‐defined geometric invariant.
Luca Benatti +2 more
wiley +1 more source
Viscosity solutions of general viscous Hamilton-Jacobi equations
, 2014 We present comparison principles, Lipschitz estimates and study state constraints problems for degenerate, second-order Hamilton-Jacobi equations.Comment: 35 pages, minor ...
Armstrong, Scott N., Tran, Hung V.
core +2 more sources
Novel Method for Measuring Carrier Diffusion Lengths in Metal‐Halide Perovskites
physica status solidi (RRL) – Rapid Research Letters, Volume 19, Issue 5, May 2025.The carrier diffusion length in metal‐halide perovskite films from approximate analysis of contactless quasi‐steady‐state photoconductance measurements is estimated. The technique is applied to two perovskite layers fabricated by wet‐chemical processing and coevaporation, respectively.
Benjamin Grimm +6 more
wiley +1 more source
Positive symmetric solutions of singular semipositone boundary value problems
Electronic Journal of Qualitative Theory of Differential Equations, 2009 Using the method of upper and lower solutions, we prove that the singular boundary value problem, \[ -u'' = f(u) ~ u^{-\alpha} \quad \textrm{in} \quad (0, 1), \quad u'(0) = 0 = u(1) \, , \] has a positive solution when $0 < \alpha < 1$ and $f : \mathbb ...
M. Rudd, Christopher Tisdell
doaj +1 more source
The free boundary for semilinear problems with highly oscillating singular terms
Journal of the London Mathematical Society, Volume 111, Issue 5, May 2025.Abstract We investigate general semilinear (obstacle‐like) problems of the form Δu=f(u)$\Delta u = f(u)$, where f(u)$f(u)$ has a singularity/jump at {u=0}$\lbrace u=0\rbrace$ giving rise to a free boundary. Unlike many works on such equations where f$f$ is approximately homogeneous near {u=0}$\lbrace u = 0\rbrace$, we work under assumptions allowing ...
Mark Allen +2 more
wiley +1 more source
Asymptotic behavior of positive solutions of a semilinear Dirichlet problem outside the unit ball
Electronic Journal of Differential Equations, 2013 In this article, we are concerned with the existence, uniqueness and asymptotic behavior of a positive classical solution to the semilinear boundary-value problem $$displaylines{ -Delta u=a(x)u^{sigma }quadext{in }D, cr lim _{|x|o 1}u(x)= lim_{|x|o ...
Habib Maagli +2 more
doaj
Positive evanescent solutions of singular elliptic problems in exterior domains
Electronic Journal of Qualitative Theory of Differential Equations, 2016 We investigate the existence of positive solutions for the following class of nonlinear elliptic problems \[\operatorname{div}(a(\|x\|)\nabla u(x))+f(x,u(x))-(u(x))^{-\alpha}\|\nabla u(x)\|^{\beta}+g(\|x\|)x\cdot\nabla u(x)=0,\] where $x\in\mathbb{R}^{n}$
Aleksandra Orpel
doaj +1 more source
Subsolutions and supersolutions in a free boundary problem
Arkiv för Matematik, 1994 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +3 more sources
Time‐insensitive nonlocal parabolic Harnack estimates
Proceedings of the London Mathematical Society, Volume 130, Issue 5, May 2025.Abstract We establish new Harnack estimates that defy the waiting‐time phenomenon for global solutions to nonlocal parabolic equations. Our technique allows us to consider general nonlocal operators with bounded measurable coefficients. Moreover, we show that a waiting‐time is required for the nonlocal parabolic Harnack inequality when local solutions ...
Naian Liao, Marvin Weidner
wiley +1 more source