Results 21 to 30 of about 1,586 (136)

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

Ground states for fractional Schrödinger equations involving a critical nonlinearity

Advances in Nonlinear Analysis, 2016
This paper is aimed to study ground states for a class of fractional Schrödinger equations involving the critical exponents:
Zhang Xia, Zhang Binlin, Xiang Mingqi
doaj   +1 more source

A posteriori error estimates based on superconvergence of FEM for fractional evolution equations

Open Mathematics, 2021
In this paper, we consider an approximation scheme for fractional evolution equation with variable coefficient. The space derivative is approximated by triangular finite element and the time fractional derivative is evaluated by the L1 approximation. The
Tang Yuelong, Hua Yuchun
doaj   +1 more source

Existence of Ground States of Fractional Schrödinger Equations

Advanced Nonlinear Studies, 2021
We consider ground states of the nonlinear fractional Schrödinger equation with ...
Ma Li, Li Zhenxiong
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, Ge Bin, Cui Ying-Xin, Sun Liang-Liang   +3 more
doaj   +1 more source

Solutions for nonhomogeneous fractional (p, q)-Laplacian systems with critical nonlinearities

Advances in Nonlinear Analysis, 2022
In this article, we aimed to study a class of nonhomogeneous fractional (p, q)-Laplacian systems with critical nonlinearities as well as critical Hardy nonlinearities in RN{{\mathbb{R}}}^{N}.
Tao Mengfei, Zhang Binlin
doaj   +1 more source

Fractional heat conduction in a rectangular plate with bending moments

, 2020
In this research work, we consider a thin, simply supported rectangular plate defined as 0 x a   , 0 y b   , 0 z c   and determine the thermal stresses by using a thermal bending moment with the help of a time dependent fractional derivative.
S. Warbhe
semanticscholar   +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 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

Double Laplace Transform Method for Solving Fractional Fourth-Order Partial Integro-Differential Equations with Weakly Singular Kernel

Indian Journal of Science and Technology
Objectives: To investigates the solutions of fourth order partial integro-differential equations with high-order non-integer derivatives and weakly singular kernels.
Ranjit R. Dhunde
semanticscholar   +1 more source