Results 61 to 70 of about 406 (185)
Littlewood, Paley and almost‐orthogonality: a theory well ahead of its time
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract The classic paper by Littlewood and Paley [J. Lond. Math. Soc. (1), 6 (1931), 230–233] marked the birth of Littlewood–Paley theory. We discuss this paper and its impact from a historical perspective, include an outline of the results in the paper and their subsequent significance in relation to developments over the last century, and set them ...
Anthony Carbery
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Strong well‐posedness for a stochastic fluid‐rigid body system via stochastic maximal regularity
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract We develop a rigorous analytical framework for a coupled stochastic fluid‐rigid body system in R3$\mathbb {R}^3$. The model describes the motion of a rigid ball immersed in an incompressible Newtonian fluid subjected to both additive noise in the fluid and body equations and transport‐type noise in the fluid equation. We establish local strong
Felix Brandt, Arnab Roy
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Sign Changing Solutions for Coupled Critical Elliptic Equations
Journal of Function Spaces, 2020 In this paper, we consider the coupled elliptic system with a Sobolev critical exponent.
Xin Wang, Xiaorui Yue
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Warning: Warnings Can Backfire Even When They Provide New and Important Information
Journal of Behavioral Decision Making, Volume 39, Issue 2, April 2026.ABSTRACT We clarify the conditions under which warnings that provide useful information backfire. Our analysis is based on three observations: (1) warnings can increase the attention given to the warned‐against behavior, (2) in many settings, counterproductive warned‐against behaviors (like texting while driving) are typically rewarding, and (3 ...
Ido Erev +3 more
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Existence of solutions for p-Kirchhoff type problems with critical exponent
Electronic Journal of Differential Equations, 2011 We study the existence of solutions for the p-Kirchhoff type problem involving the critical Sobolev exponent, $$displaylines{ -Big[gBig(int_Omega|abla u|^pdxBig)Big]Delta_pu =lambda f(x,u)+|u|^{p^star-2}uquadext{in }Omega,cr u=0quadext{on ...
Ahmed Hamydy +2 more
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Strongly indefinite systems with critical sobolev exponents and weights
Applied Mathematics Letters, 2004 Let \(\Omega\) be a bounded smooth domain in \(\mathbb R^N\), \(N\geq 4\) and \(\lambda,\mu\in\mathbb R\). The author deals with the following problem: \[ -\Delta v=\lambda u+K(x)|u|^{p-1}u\text{ in }\Omega, \quad -\Delta u=\mu v+ Q(x)|v|^{q-1}v\text{ in }\Omega, \quad u=v=0\text{ on }\partial\Omega, \tag{1} \] where \(p,q>1\) and coefficients \(K,Q ...
openaire +1 more source
Function spaces for decoupling
Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.Abstract We introduce new function spaces LW,sq,p(Rn)$\mathcal {L}_{W,s}^{q,p}(\mathbb {R}^{n})$ that yield a natural reformulation of the ℓqLp$\ell ^{q}L^{p}$ decoupling inequalities for the sphere and the light cone. These spaces are invariant under the Euclidean half‐wave propagators, but not under all Fourier integral operators unless p=q$p=q$, in ...
Andrew Hassell +3 more
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Proceedings of the London Mathematical Society, Volume 132, Issue 4, April 2026.Abstract In this paper, we investigate the following D1,p$D^{1,p}$‐critical quasi‐linear Hénon equation involving p$p$‐Laplacian −Δpu=|x|αupα∗−1,x∈RN,$$\begin{equation*} -\Delta _p u=|x|^{\alpha }u^{p_\alpha ^*-1}, \qquad x\in \mathbb {R}^N, \end{equation*}$$where N⩾2$N\geqslant 2$, 1
Wei Dai +3 more
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Boundary Value Problems, 2019 In this paper, we study a fractional Kirchhoff type equation with Hardy–Littlewood–Sobolev critical exponent. By using variational methods, we obtain the existence of mountain-pass type solution and negative energy solutions.
Jichao Wang, Jian Zhang, Yujun Cui
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Fractional Dirichlet problems with an overdetermined non‐local Neumann condition
Proceedings of the London Mathematical Society, Volume 132, Issue 4, April 2026.Abstract We investigate symmetry and quantitative approximate symmetry for an overdetermined problem related to the fractional torsion equation in a regular open, bounded set Ω⊆Rn$\Omega \subseteq \mathbb {R}^n$. Specifically, we show that if Ω¯$\overline{\Omega }$ has positive reach and the non‐local normal derivative introduced in Dipierro, Ros‐Oton ...
Michele Gatti +2 more
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