1,721,086 research outputs found
Periodic solutions for a fractional asymptotically linear problem
No full textWe study the existence and multiplicity of periodic weak solutions for a non-local
equation involving an odd subcritical nonlinearity which is asymptotically linear at
infinity. We investigate such problem by applying the pseudo-index theory developed
by Bartolo, Benci and Fortunato [11] after transforming the problem to a degenerate
elliptic problem in a half-cylinder with a Neumann boundary condition, via a
Caffarelli-Silvestre type extension in periodic setting. The periodic nonlocal case,
considered here, presents, respect to the cases studied in the literature, some new
additional difficulties and a careful analysis of the fractional spaces involved is
necessar
Kirchhoff-type problems on a geodesic ball of the hyperbolic space
No full textIn this paper we study the existence of (weak) solutions for some Kirchhoff-type problems on the Hyperbolic space by using variational methods
Fractional equations with bounded primitive
No full textThis article concerns with a class of nonlocal fractional Laplacian problems depending on two real parameters. Our approach is based on variational methods. We establish the existence of three weak solutions via a recent abstract result by Ricceri about nonlocal equations. (C) 2013 Elsevier Ltd. All rights reserved
Remarks on degree 4 projective curves
No full textIn this paper we characterize the degree 4 multiple lines with generic embedding dimension 3 and among them the ones with very degenerate hyperplanc section, and the ones which contain a degree 3 planar subcurve. Using that characterization, we prove that the degree 4 curves containing a planar subcurve of degree 3 are the general element of all irreducible component of the Hilbert scheme. Moreover, we show that all the multiple lines we consider belong to the same connected component of the corresponding Hilbert scheme
Higher nonlocal problems with bounded potential
No full textThe aim of this paper is to study a class of nonlocal fractional Laplacian equations depending on two real parameters. More precisely, by using an appropriate analytical context on fractional Sobolev spaces due to Servadei and Valdinoci, we establish the existence of three weak solutions for nonlocal fractional problems exploiting an abstract critical point result for smooth functionals. We emphasize that the dependence of the underlying equation from one of the real parameters is not necessarily of affine type
On sequences of solutions for discrete anisotropic equations
No full textTaking advantage of a recent critical point theorem, the existence of infinitely many solutions for an anisotropic problem with a parameter is established. More precisely, a concrete interval of positive parameters, for which the treated problem admits infinitely many solutions, is determined without symmetry assumptions on the nonlinear data. Our goal was achieved by requiring an appropriate behavior of the nonlinear terms at zero, without any additional conditions
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