Showing papers in "Journal of Functional Analysis in 2015"

TL;DR: In this paper, the authors studied the existence and asymptotic behavior of nodal solutions to the following Kirchhoff problem − (a + b ∫ R 3 | ∇ u | 2 d x ) Δ u + V ( | x | ) u = f( | x|, u ), in R 3, u ∈ H 1 ( R 3 ), where V ( x ) is a smooth function, a, b are positive constants.

TL;DR: In this article, necessary and sufficient conditions are given for the existence of solutions to the discrete L p Minkowski problem for the critical case where 0 p 1 is a constant.

TL;DR: In this paper, a sufficient condition for the boundedness of the maximal operator on generalized Orlicz spaces is presented. But this condition is not applicable to the double phase functional and does not cover the case of variable exponent Lebesgue spaces.

TL;DR: In this paper, the influence of the advection coefficient −β on the long time behavior of the solutions of Fisher-KPP is studied and the authors find two parameters c0 and β ⊆ with β ∈ c0>c0>0 which play key roles in the dynamics, here c0 is the minimal speed of the traveling waves of Fisher KPP equation.

TL;DR: In this paper, a weighted L t 1 (L v 3 ) estimate for the solutions of the spatially homogeneous Landau equation with Coulomb interaction, and the propagation of L 1 moments of any order for this equation was given.

TL;DR: In this paper, the authors give sufficient conditions for non-uniqueness in terms of spectral properties of a natural linear operator associated to scale-invariant Navier-Stokes equations.

TL;DR: In this article, the authors prove weighted strong q-variation inequalities with 2 q ∞ for differential and singular integral operators for functions with values in l ρ for 1 ρ ∞.

TL;DR: In this article, the Sierpinski-type self-similar measure μ ρ on R 2 with contraction ratio 0 | ρ | 1, where ρ is a spectral measure if and only if ρ = 1 / ( 3 p ) for some integer p > 0.

TL;DR: In this paper, the authors studied the KMS states of the C-algebra of a strongly connected k-graph and showed that there is only one subgroup of the gauge action that admits a KMS state.

TL;DR: In this paper, it was shown that the commutator is stable in permutations endowed with the Hamming distance, that is, two permutations that almost commute are near two commuting permutations.

TL;DR: In this article, the authors introduced Besov-type spaces with variable smoothness and integrability, and established their characterizations in terms of φ -transforms in the sense of Frazier and Jawerth, smooth atoms or Peetre maximal functions, as well as a Sobolev-type embedding.

TL;DR: In this article, the authors study closed subspaces of L 2 (X ), where (X, μ ) is a σ-finite measure space, that are invariant under the unitary representation associated to a measurable action of a discrete countable LCA group Γ on X.

TL;DR: In this paper, it was shown that the nth approximation number of bounded composition operators on H2 is bounded below by a constant times rn for some 0 0 when c 0 is positive.

TL;DR: In this paper, the authors established the existence, uniqueness and attraction properties of an ergodic invariant measure for the Boussinesq equations in the presence of a degenerate stochastic forcing acting only in the temperature equation and only at the largest spatial scales.

TL;DR: In this paper, a deformation theory of C ⁎ -algebras endowed with an action of a finite dimensional vector space over a non-Archimedean local field of characteristic different from 2 is presented.

TL;DR: In this article, the existence of good nuclear witnesses has been shown to be equivalent to a local approximate nuclearity condition that is equivalent to the local lifting property of Kirchberg.

TL;DR: In this article, it was shown that for any sequence of solutions u n of (1) corresponding to e n ∈ [ 0, 2 α ⁎ − 2 ), satisfying ∆ n ≤ C in the Sobolev space H defined in (1.2), u n converges strongly in H provided that N > 6 α and λ > 0.

TL;DR: In this article, it was shown that constant functions are global maximizers for the adjoint Fourier restriction inequality for the sphere, and constant functions were shown to be global optimizers of the restriction inequality.

TL;DR: In this article, it was shown that q-variation estimates, q > 2, on l p spaces for averages along primes (with 1 p ∞ ) and polynomials (with | 1/p − 1/2 | 1 / 2 (d + 1 ), where d is the degree of the polynomial).

TL;DR: In this paper, the authors studied C*-algebras associated to right LCM semigroups, that is, semigroup which are left cancellative and for which any two principal right ideals are either disjoint or intersect in another principal right ideal.

TL;DR: In this article, the Fourier transform induces an isomorphism between the coorbit spaces defined by Feichtinger and Grochenig of the mixed, weighted Lebesgue spaces L v p, q with respect to the quasi-regular representation of a semi-direct product R d ⋊ H with suitably chosen dilation group H, and certain decomposition spaces D (Q, L p, l u q ) where the localized “parts” of a function are measured in the F L p -norm.

TL;DR: In this paper, a parabolic Schauder-type estimate with respect to conical metrics has been shown for short-lived conical Kahler-Ricci flow, where the key is to establish the relevant heat kernel estimates, where they use the Weber formula on Bessel function of the second kind and Carslaw's heat kernel representation.

TL;DR: For a class of C 2 quasiperiodic potentials and for any fixed Diophantine frequency, the Lyapunov exponent of the corresponding Schrodinger cocycles, as a function of energies, are uniformly positive and weakly Holder continuous as mentioned in this paper.

TL;DR: In this paper, the authors investigated Stein-Malliavin approximations for nonlinear functionals of geometric interest for random eigenfunctions on the unit d-dimensional sphere S d, d ≥ 2.

TL;DR: In this paper, for the semigroup associated to a class of stochastic differential equations driven by multiplicative Levy noise, a new derivative formula of Bismut-Elworthy-Li's type is established by using the Malliavin calculus and a finite-jump approximation argument.

TL;DR: In this paper, a class of closed semi-bounded quadratic forms on the space of square integrable functions over a smooth Riemannian manifold with smooth compact boundary was constructed.

TL;DR: In this paper, the authors prove existence, uniqueness and optimal regularity of solutions to the stationary obstacle problem defined by the fractional Laplacian operator with drift, in the subcritical regime.

TL;DR: In this paper, the infinite Bernoulli convolution with upper bound δ = 0 < ϵ ≤ ϵ < 1 and upper bound ϵ ≥ ϵ is called the infinite convolution L2(μρ,{ak,bk}).

TL;DR: In this paper, for a locally compact group G and a closed abelian subgroup H, a range function classification of closed subspaces in L 2 (G ) invariant under left translation by H is given.

TL;DR: In this paper, the boundary value problem (P λ ) u ∈ H 0 1 ( Ω ) ∩ L ∞ ( ) is considered and it is shown that the continuum bifurcates from infinity on the right of the axis λ = 0 and this implies that the existence of two solutions for any λ > 0 sufficiently small.