Results 31 to 40 of about 95,620 (293)
Remarks on the Nonlocal Dirichlet Problem [PDF]
Potential Analysis, 2020 AbstractWe study translation-invariant integrodifferential operators that generate Lévy processes. First, we investigate different notions of what a solution to a nonlocal Dirichlet problem is and we provide the classical representation formula for distributional solutions.
Grzywny, Tomasz +2 more
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A Nonlocal Cauchy Problem for Fractional Integrodifferential Equations
Journal of Applied Mathematics, 2012 This paper is concerned with a nonlocal Cauchy problem for fractional integrodifferential equations in a separable Banach space X. We establish an existence theorem for mild solutions to the nonlocal Cauchy problem, by virtue of measure of noncompactness
Fang Li +3 more
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Free boundary problem for a nonlocal time-periodic diffusive competition model
Mathematical Biosciences and Engineering, 2023 In this paper we consider a free boundary problem for a nonlocal time-periodic competition model. One species is assumed to adopt nonlocal dispersal, and the other one adopts mixed dispersal, which is a combination of both random dispersal and nonlocal ...
Qiaoling Chen +3 more
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Nonlocal isoperimetric problems
, 2014 We characterize the volume-constrained minimizers of a nonlocal free energy given by the difference of fractional perimeters. Exploiting the quantitative fractional isoperimetric inequality, we show that balls are the unique minimizers if the volume is sufficiently small, while the existence vs. nonexistence of minimizers for large volumes remains open.
Di Castro, Agnese +3 more
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Doklady Mathematics, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Savin A.Yu., Sternin B.Yu.
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Nonlocal problems with critical Hardy nonlinearity [PDF]
Journal of Functional Analysis, 2018 By means of variational methods we establish existence and multiplicity of solutions for a class of nonlinear nonlocal problems involving the fractional p-Laplacian and a combined Sobolev and Hardy nonlinearity at subcritical and critical growth.
Chen, Wenjing +2 more
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, 2011 This paper is concerned with the analysis of the Cauchy problem of a general class of two-dimensional nonlinear nonlocal wave equations governing anti-plane shear motions in nonlocal elasticity.
A Erkip +14 more
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Discrete Dynamics in Nature and Society, 2009 The nonlocal boundary value problem for Schrödinger equation in a Hilbert space is considered. The second-order of accuracy 𝑟-modified Crank-Nicolson difference schemes for the approximate solutions of this nonlocal boundary value problem are presented ...
Allaberen Ashyralyev, Ali Sirma
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The fractional Cheeger problem
, 2013 Given an open and bounded set $\Omega\subset\mathbb{R}^N$, we consider the problem of minimizing the ratio between the $s-$perimeter and the $N-$dimensional Lebesgue measure among subsets of $\Omega$.
Brasco, Lorenzo +2 more
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The deformed two-dimensional black hole [PDF]
, 1999 A deformation of the wave equation on a two-dimensional black hole is considered as a toy-model for possible gravitational or stringy nonlocal effects. The deformed wave-equation allows for an initial-value problem despite being nonlocal.
Barnes +7 more
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