Results 11 to 20 of about 202 (28)

Nonlinear equations involving the square root of the Laplacian

, 2018
In this paper we discuss the existence and non-existence of weak solutions to parametric fractional equations involving the square root of the Laplacian $A_{1/2}$ in a smooth bounded domain $\Omega\subset \mathbb{R}^n$ ($n\geq 2$) and with zero Dirichlet
Ambrosio, Vincenzo, Bisci, Giovanni Molica, Repovš, Dušan D.   +2 more
core   +5 more sources

On the fractional p-Laplacian equations with weight and general datum

Advances in Nonlinear Analysis, 2016
The aim of this paper is to study the following problem:
Abdellaoui Boumediene, Attar Ahmed, Bentifour Rachid   +2 more
doaj   +1 more source

Kirchhoff–Hardy Fractional Problems with Lack of Compactness

Advanced Nonlinear Studies, 2017
This paper deals with the existence and the asymptotic behavior of nontrivial solutions for some classes of stationary Kirchhoff problems driven by a fractional integro-differential operator and involving a Hardy potential and different critical ...
Fiscella Alessio, Pucci Patrizia
doaj   +1 more source

Weak convergence of Galerkin approximations for fractional elliptic stochastic PDEs with spatial white noise [PDF]

, 2018
The numerical approximation of the solution to a stochastic partial differential equation with additive spatial white noise on a bounded domain is considered.
Bolin, David, Kirchner, Kristin, Kovács, Mihály   +2 more
core   +2 more sources

Generalised Fractional Evolution Equations of Caputo Type [PDF]

, 2017
This paper is devoted to the study of generalised time-fractional evolution equations involving Caputo type derivatives. Using analytical methods and probabilistic arguments we obtain well-posedness results and stochastic representations for the ...
Hernández-Hernández, M. E., Kolokoltsov, V. N., Toniazzi, L.   +2 more
core   +2 more sources

Universal Constraints on the Location of Extrema of Eigenfunctions of Non-Local Schr\"odinger Operators [PDF]

, 2019
We derive a lower bound on the location of global extrema of eigenfunctions for a large class of non-local Schr\"odinger operators in convex domains under Dirichlet exterior conditions, featuring the symbol of the kinetic term, the strength of the ...
Biswas, Anup, Lőrinczi, József
core   +2 more sources

Elliptic Pre-Complexes, Hodge-like Decompositions and Overdetermined Boundary-Value Problems

Forum of Mathematics, Sigma
We solve a problem posed by Calabi more than 60 years ago, known as the Saint-Venant compatibility problem: Given a compact Riemannian manifold, generally with boundary, find a compatibility operator for Lie derivatives of the metric tensor. This problem
Raz Kupferman, Roee Leder
doaj   +1 more source

Nonlinear elliptic equations with self-adjoint integro-differential operators and measure data under sign condition on the nonlinearity

Advanced Nonlinear Studies
We study the existence problem for semilinear equations (E): −Au = f(⋅, u) + μ, with Borel measure μ and operator A that generates a symmetric Markov semigroup.
Klimsiak Tomasz
doaj   +1 more source

Crack Theory with Singularities at the Boundary [PDF]

, 2003
2002 Mathematics Subject Classification: 35S15, 35J70, 35J40, 38J40We investigate crack problems, where the crack boundary has conical singularities. Elliptic operators with two-sided elliptic boundary conditions on the plus and minus sides of the crack ...
Schulze, B. W.
core  

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, Hajaiej, Hichem, Vilasi, Luca   +2 more
core   +1 more source