Results 11 to 20 of about 95,620 (293)
A third-order nonlocal problem with nonlocal conditions [PDF]
International Journal of Mathematics and Mathematical Sciences, 2004 We study an equation with dominated lower-order terms and nonlocal conditions. Using the Riesz representation theorem and the Schauder fixed-point theorem, we prove the existence and uniqueness of a generalized solution.
Lazhar Bougoffa
doaj +2 more sources
MathematicsIn the nonlocal Almgren problem, the goal is to investigate the convexity of a minimizer under a mass constraint via a nonlocal free energy generated with a nonlocal perimeter and convex potential.
Emanuel Indrei
doaj +3 more sources
A nonlocal two phase Stefan problem [PDF]
Differential and Integral Equations, 2013 We study a nonlocal version of the two-phase Stefan problem, which models a phase transition problem between two distinct phases evolving to distinct heat equations.
Chasseigne, Emmanuel +1 more
core +9 more sources
Nonlocal $p$-Laplacian evolution problems on graphs [PDF]
SIAM Journal on Numerical Analysis, 2016 In this paper we study numerical approximations of the evolution problem for the nonlocal $p$-Laplacian with homogeneous Neumann boundary conditions. First, we derive a bound on the distance between two continuous-in-time trajectories defined by two different evolution systems (i.e. with different kernels and initial data).
Yosra Hafiene +2 more
openalex +8 more sources
Nonlocal Conduction in a Metawire. [PDF]
Adv MaterA 1D metawire composed of twisted copper wires is designed and realized. This metamaterial exhibits pronounced effects of nonlocal electric conduction according to Ohm's law. The current at one location not only depends on the electric field at that location but also on other locations.
Iglesias Martínez JA +3 more
europepmc +2 more sources
ON SOME NONLOCAL VARIATIONAL PROBLEMS [PDF]
Analysis and Applications, 2006 We study uniqueness and non uniqueness of minimizers of functionals involving nonlocal quantities. We give also conditions which lead to a lack of minimizers and we show how minimization on an infinite dimensional space reduces here to a minimization on ℝ. Among other things, we prove that uniqueness of minimizers of functionals of the form ∫Ω a(∫Ω gu
Chipot, M, Gangbo, W, Kawohl, B
openaire +2 more sources
An asymptotic expansion for the fractional $p$-Laplacian and for gradient dependent nonlocal operators [PDF]
, 2021 Mean value formulas are of great importance in the theory of partial differential equations: many very useful results are drawn, for instance, from the well known equivalence between harmonic functions and mean value properties.
Bucur, Claudia, Squassina, Marco
core +2 more sources
A Nonlocal Free Boundary Problem [PDF]
SIAM Journal on Mathematical Analysis, 2015 Given~$s, \in(0,1)$ and a bounded domain~$ \subset\R^n$, we consider the following minimization problem of $s$-Dirichlet plus $ $-perimeter type $$ [u]_{ H^s(\R^{2n}\setminus( ^c)^2) } + \Per_ \left(\{u>0\}, \right), $$ where~$[ \cdot]_{H^s}$ is the fractional Gagliardo seminorm and $\Per_ $ is the fractional perimeter.
S. Dipierro, O. Savin, E. Valdinoci
openaire +5 more sources
Вестник КазНУ. Серия математика, механика, информатика, 2021 In this paper we consider one class of spectral problems for a nonlocal ordinary differential operator (with involution in the main part) with nonlocal boundary conditions of periodic type.
G. Dildabek +2 more
doaj +1 more source
A NONLOCAL VECTOR CALCULUS, NONLOCAL VOLUME-CONSTRAINED PROBLEMS, AND NONLOCAL BALANCE LAWS [PDF]
Mathematical Models and Methods in Applied Sciences, 2013 A vector calculus for nonlocal operators is developed, including the definition of nonlocal divergence, gradient, and curl operators and the derivation of the corresponding adjoint operators. Nonlocal analogs of several theorems and identities of the vector calculus for differential operators are also presented.
Du, Qiang +3 more
openaire +1 more source