Results 41 to 50 of about 426 (56)
, 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
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Existence Results for a critical fractional equation
, 2016 We are concerned with existence results for a critical problem of Brezis-Nirenberg Type involving an integro-differential operator. Our study includes the fractional Laplacian. Our approach still applies when adding small singular terms.
Bisci, Giovanni Molica +2 more
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Sequences of weak solutions for fractional equations [PDF]
, 2013 This work is devoted to study the existence of infinitely many weak solutions to nonlocal equations involving a general integrodifferential operator of fractional type.
Bisci, Giovanni Molica
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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
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Standing waves for Choquard equation with noncritical rotation
Advances in Nonlinear AnalysisWe investigate the existence and stability of standing waves with prescribed mass c>0c\gt 0 for Choquard equation with noncritical rotation in Bose-Einstein condensation. Then, we consider the mass collapse behavior of standing waves, the ratio of energy
Mao Yicen, Yang Jie, Su Yu
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
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Attainability of the fractional Hardy constant with nonlocal mixed boundary conditions. Applications
, 2017 The first goal of this paper is to study necessary and sufficient conditions to obtain the attainability of the \textit{fractional Hardy inequality } $$\Lambda_{N}\equiv\Lambda_{N}(\Omega):=\inf_{\{\phi\in \mathbb{E}^s(\Omega, D), \phi\neq 0\}} \dfrac ...
Abdellaoui, Boumediene +3 more
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, 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
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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
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
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