Results 41 to 50 of about 439 (54)
H\^older continuity of solutions of second-order non-linear elliptic integro-differential equations
, 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
Local behavior of fractional $p$-minimizers
, 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
Bismut Formulae and Applications for Functional SPDEs [PDF]
, 2011 By using Malliavin calculus, explicit derivative formulae are established for a class of semi-linear functional stochastic partial differential equations with additive or multiplicative noise.
Bao, Jianhai +2 more
core
, 2014 We state and prove a general Harnack inequality for minimizers of nonlocal, possibly degenerate, integro-differential operators, whose model is the fractional p-Laplacian.Comment: To appear in J.
Di Castro, Agnese +2 more
core +1 more source
Demonstratio MathematicaIn 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
Critical nonlocal systems with concave-convex powers
, 2016 By using the fibering method jointly with Nehari manifold techniques, we obtain the existence of multiple solutions to a fractional $p$-Laplacian system involving critical concave-convex nonlinearities provided that a suitable smallness condition on the ...
Chen, Wenjing, Squassina, Marco
core +1 more source
An analysis on the approximate controllability of neutral impulsive stochastic integrodifferential inclusions via resolvent operators. [PDF]
Heliyon, 2023 Ma YK +4 more
europepmc +1 more source
, 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
A nonlinear partial integro-differential equation from mathematical finance [PDF]
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]
J Math Biol, 2020 Eckardt M +3 more
europepmc +1 more source