Buscar
Mostrando ítems 31-40 de 202
A limiting problem for local/non-local p-Laplacians with concave–convex nonlinearities
(Birkhauser Verlag Ag, 2020-12)
In this manuscript, we deal with an equation involving a combination of quasi-linear elliptic operators of local and non-local nature with p-structure, and concave?convex nonlinearities. The prototypical model is given by ...
Optimal partition problems for the fractional Laplacian
(Springer Heidelberg, 2018-04)
In this work, we prove an existence result for an optimal partition problem of the form min{Fs(A1, …, Am) : Ai ∈ As, Ai ∩ Aj = ∅ for i ≠ j}, where Fs is a cost functional with suitable assumptions of monotonicity and lower ...
The two-dimensional fractional discrete nonlinear Schrödinger equation
(Elsevier, 2020)
We study a fractional version of the two-dimensional discrete nonlinear Schrodinger (DNLS) equation, where the usual discrete Laplacian is replaced by its fractional form that depends on a fractional exponent s that ...
General types of spherical mean operators and k-functionals of fractional orders
(AIMSSpringfield, 2015-05)
We design a general type of spherical mean operators and employ them to approximate 'L IND.P' class functions. We show that optimal orders of approximation are achieved via appropriately defined K-functionals of fractional orders.
Ground states and concentration phenomena for the fractional Schrodinger equation
(IOP Publishing, 2015)
We consider here solutions of the nonlinear fractional Schr¨odinger equation
ε2s(− )su + V (x)u = up.
We show that concentration points must be critical points for V . We also
prove that if the potential V is coercive ...
Existence and decay rates for a semilinear dissipative fractional second order evolution equation
(Universidade Federal de Santa Maria, 2020)
Self-generated interior blow-up solutions in fractional elliptic equation with absorption
(2015)
In this paper, we study positive solutions to problems involving the fractional Laplacian
{(-Delta)(alpha)u(x) + vertical bar u vertical bar(p-1)u(x) = 0, x is an element of Omega \ C,
u(x) = 0, x is an element of ...
Non-local Diffusion Equations Involving the Fractional p(·) -Laplacian
(2019-01-01)
In this paper we study a class of nonlinear quasi-linear diffusion equations involving the fractional p(·) -Laplacian with variable exponents, which is a fractional version of the nonhomogeneous p(·) -Laplace operator. The ...
Gamma convergence and asymptotic behavior for eigenvalues of nonlocal problems
(American Institute of Mathematical Sciences, 2021-05)
In this paper we analyze the asymptotic behavior of several fractional eigenvalue problems by means of Gamma-convergence methods. This method allows us to treat different eigenvalue problems under a unified framework. We ...
A fractional Laplace equation: Regularity of solutions and finite element approximations
(Society for Industrial and Applied Mathematics, 2017-01)
This paper deals with the integral version of the Dirichlet homogeneous fractional Laplace equation. For this problem weighted and fractional Sobolev a priori estimates are provided in terms of the Holder regularity of the ...