Results 41 to 50 of about 439 (53)

Local behavior of fractional $p$-minimizers

open access: yes, 2015
We extend the De Giorgi-Nash-Moser theory to nonlocal, possibly degenerate integro-differential operators.Comment: 26 pages. To appear in Ann. Inst. H. Poincare Anal. Non Lineaire.
Di Castro, Agnese   +2 more
core   +1 more source

On the p-fractional Schrödinger-Kirchhoff equations with electromagnetic fields and the Hardy-Littlewood-Sobolev nonlinearity

open access: yesDemonstratio Mathematica
In this article, we deal with the following pp-fractional Schrödinger-Kirchhoff equations with electromagnetic fields and the Hardy-Littlewood-Sobolev nonlinearity: M([u]s,Ap)(−Δ)p,Asu+V(x)∣u∣p−2u=λ∫RN∣u∣pμ,s*∣x−y∣μdy∣u∣pμ,s*−2u+k∣u∣q−2u,x∈RN,M({\left[u]}
Zhao Min   +2 more
doaj   +1 more source

H\^older continuity of solutions of second-order non-linear elliptic integro-differential equations

open access: yes, 2010
This paper is concerned with H\"older regularity of viscosity solutions of second-order, fully non-linear elliptic integro-differential equations. Our results rely on two key ingredients: first we assume that, at each point of the domain, either the ...
Barles, Guy   +2 more
core   +3 more sources

Derivative Formula and Harnack Inequality for Degenerate Functional SDEs [PDF]

open access: yes, 2011
By constructing successful couplings, the derivative formula, gradient estimates and Harnack inequalities are established for the semigroup associated with a class of degenerate functional stochastic differential equations.Comment: 20 ...
Bao, Jianhai   +2 more
core  

Existence of solutions for fractional p-Kirchhoff type equations with a generalized Choquard nonlinearities

open access: yes, 2018
In this article, we establish the existence of solutions to the fractional $p-$Kirchhoff type equations with a generalized Choquard nonlinearities without assuming the Ambrosetti-Rabinowitz ...
Chen, Wenjing
core  

Weak Poincar\'e Inequality for Convolution Probability Measures [PDF]

open access: yes, 2016
By using Lyapunov conditions, weak Poincar\'e inequalities are established for some probability measures on a manifold $(M,g)$. These results are further applied to the convolution of two probability measures on $\R^d$.
Cheng, Li-Juan, Zhang, Shao-Qin
core  

A nonlinear partial integro-differential equation from mathematical finance [PDF]

open access: yes
We study a nonlinear partial integrodifferential equation arising in the calibration of stochastic volatility models to a market of vanilla options.
Frédéric Abergel, Rémi Tachet
core  

Nonlocal and local models for taxis in cell migration: a rigorous limit procedure. [PDF]

open access: yesJ Math Biol, 2020
Eckardt M   +3 more
europepmc   +1 more source

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