Results 41 to 50 of about 1,279 (100)

Local Hölder continuity for fractional nonlocal equations with general growth [PDF]

arXiv, 2021
We study generalized fractional $p$-Laplacian equations to prove local boundedness and H\"older continuity of weak solutions to such nonlocal problems by finding a suitable fractional Sobolev-Poincar\'e inquality.
arxiv  

Ground-state solutions for fractional Kirchhoff-Choquard equations with critical growth

Advances in Nonlinear Analysis
We study the following fractional Kirchhoff-Choquard equation: a+b∫RN(−Δ)s2u2dx(−Δ)su+V(x)u=(Iμ*F(u))f(u),x∈RN,u∈Hs(RN),\left\{\begin{array}{l}\left(a+b\mathop{\displaystyle \int }\limits_{{{\mathbb{R}}}^{N}}{\left|{\left(-\Delta )}^{\frac{s}{2}}u\right|}
Yang Jie, Chen Haibo
doaj   +1 more source

Space-time duality for semi-fractional diffusions [PDF]

Fractal Geometry and Stochastics VI, Progress in Probability 76, 2021, pp. 255-272, 2019
Almost sixty years ago Zolotarev proved a duality result which relates an $\alpha$-stable density for $\alpha\in(1,2)$ to the density of a $\frac1{\alpha}$-stable distribution on the positive real line. In recent years Zolotarev duality was the key to show space-time duality for fractional diffusions stating that certain heat-type fractional equations ...
arxiv  

A note on precised Hardy inequalities on Carnot groups and Riemannian manifolds [PDF]

arXiv, 2010
We prove non local Hardy inequalities on Carnot groups and Riemannian manifolds, relying on integral representations of fractional Sobolev norms.
arxiv  

On a space discretization scheme for the Fractional Stochastic Heat Equations [PDF]

arXiv, 2011
In this work, we introduce a new discretization to the fractional Laplacian and use it to elaborate an approximation scheme for fractional heat equations perturbed by a multiplicative cylindrical white noise. In particular, we estimate the rate of convergence.
arxiv  

Well-posedness for the Cauchy problem for a fractional porous medium equation with variable density in one space dimension [PDF]

arXiv, 2012
We study existence and uniqueness of bounded solutions to a fractional nonlinear porous medium equation with a variable density, in one space dimension.
arxiv  

Non-critical dimensions for critical problems involving fractional Laplacians [PDF]

arXiv, 2013
We study the Brezis--Nirenberg effect in two families of noncompact boundary value problems involving Dirichlet-Laplacian of arbitrary real order $m>0$.
arxiv  

Weyl-type laws for fractional p-eigenvalue problems [PDF]

arXiv, 2013
We prove an asymptotic estimate for the growth of variational eigenvalues of fractional p-Laplacian eigenvalue problems on a smooth bounded domain.
arxiv  

On the Sobolev and Hardy constants for the fractional Navier Laplacian [PDF]

arXiv, 2014
We prove the coincidence of the Sobolev and Hardy constants relative to the "Dirichlet" and "Navier" fractional Laplacians of any real order $m\in(0,\frac{n}{2})$ over bounded domains in $\mathbb R^n$.
arxiv  

On a fractional thin film equation

Advances in Nonlinear Analysis, 2020
This paper deals with a nonlinear degenerate parabolic equation of order α between 2 and 4 which is a kind of fractional version of the Thin Film Equation.
Segatti Antonio, Vázquez Juan Luis
doaj   +1 more source