Results 21 to 30 of about 1,480 (78)
BioMed Research International, Volume 2015, Issue 1, 2015., 2015 This prospective, consecutive, multicentre observational registry aimed to confirm the safety and clinical performance of the SpineJack system for the treatment of vertebral compression fractures (VCF) of traumatic origin. We enrolled 103 patients (median age: 61.6 years) with 108 VCF due to trauma, or traumatic VCF with associated osteoporosis ...
David Noriega +15 more
wiley +1 more source
Regularity and Bernstein-type results for nonlocal minimal surfaces [PDF]
, 2013 We prove that, in every dimension, Lipschitz nonlocal minimal surfaces are smooth. Also, we extend to the nonlocal setting a famous theorem of De Giorgi stating that the validity of Bernstein's theorem in dimension $n+1$ is a consequence of the ...
Figalli, Alessio, Valdinoci, Enrico
core +4 more sources
Annales Mathematicae Silesianae, 2020 This work presents a numerical comparison between two efficient methods namely the fractional natural variational iteration method (FNVIM) and the fractional natural homotopy perturbation method (FNHPM) to solve a certain type of nonlinear Caputo time ...
Khalouta Ali, Kadem Abdelouahab
doaj +1 more source
Compact Sobolev-Slobodeckij embeddings and positive solutions to fractional Laplacian equations
Advances in Nonlinear Analysis, 2021 In this work, we study the existence of a positive solution to an elliptic equation involving the fractional Laplacian (−Δ)s in ℝn, for n ≥ 2, such ...
Han Qi
doaj +1 more source
Multiplicity solutions of a class fractional Schrödinger equations
Open Mathematics, 2017 In this paper, we study the existence of nontrivial solutions to a class fractional Schrödinger equations (−Δ)su+V(x)u=λf(x,u)inRN, $$ {( - \Delta )^s}u + V(x)u = \lambda f(x,u)\,\,{\rm in}\,\,{\mathbb{R}^N}, $$ where (−Δ)su(x)=2limε→0∫RN∖Bε(X)u(x)−u(y ...
Jia Li-Jiang +3 more
doaj +1 more source
Optimal rearrangement problem and normalized obstacle problem in the fractional setting
Advances in Nonlinear Analysis, 2020 We consider an optimal rearrangement minimization problem involving the fractional Laplace operator (–Δ)s, 0 < s < 1, and the Gagliardo seminorm |u|s. We prove the existence of the unique minimizer, analyze its properties as well as derive the non-local ...
Bonder Julián Fernández +2 more
doaj +1 more source
Some remarks on the duality method for Integro-Differential equations with measure data [PDF]
, 2015 We deal with existence, uniqueness, and regularity for solutions of the boundary value problem $$ \begin{cases} {\mathcal L}^s u = \mu &\quad \text{in $\Omega$}, u(x)=0 \quad &\text{on} \ \ \mathbb{R}^N\backslash\Omega, \end{cases} $$ where $\Omega$ is
Petitta, Francesco
core +1 more source
A Computational Method for the Time-Fractional Navier-Stokes Equation
Cumhuriyet Science Journal, 2018 In thisstudy, Navier-Stokes equations with fractional derivate are solved according totime variable. To solve these equations, hybrid generalized differentialtransformation and finite difference methods are used in various subdomains.The aim of this ...
Hüseyin Demir, İnci Çilingir Süngü
doaj +1 more source
On Dirichlet problem for fractional p-Laplacian with singular non-linearity
Advances in Nonlinear Analysis, 2016 In this article, we study the following fractional p-Laplacian equation with critical growth and singular non-linearity:
Mukherjee Tuhina, Sreenadh Konijeti
doaj +1 more source
On well-posedness of semilinear Rayleigh-Stokes problem with fractional derivative on ℝN
Advances in Nonlinear Analysis, 2021 We are devoted to the study of a semilinear time fractional Rayleigh-Stokes problem on ℝN, which is derived from a non-Newtonain fluid for a generalized second grade fluid with Riemann-Liouville fractional derivative.
He Jia Wei +3 more
doaj +1 more source