Resolvent estimates for elliptic systems in function spaces of higher regularity
Electronic Journal of Differential Equations, 2011 We consider parameter-elliptic boundary value problems and uniform a priori estimates in $L^p$-Sobolev spaces of Bessel potential and Besov type. The problems considered are systems of uniform order and mixed-order systems (Douglis-Nirenberg systems).
Robert Denk, Michael Dreher
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On Bergman–Toeplitz operators in periodic planar domains
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract We study spectra of Toeplitz operators Ta$T_a$ with periodic symbols in Bergman spaces A2(Π)$A^2(\Pi)$ on unbounded singly periodic planar domains Π$\Pi$, which are defined as the union of infinitely many copies of the translated, bounded periodic cell ϖ$\varpi$.
Jari Taskinen
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Density of smooth functions in Musielak-Orlicz-Sobolev spaces $W^{k,Φ}(Ω)$ [PDF]
, 2023 Anna Kamińska, Mariusz Żyluk
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Curvature‐dimension condition of sub‐Riemannian α$\alpha$‐Grushin half‐spaces
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract We provide new examples of sub‐Riemannian manifolds with boundary equipped with a smooth measure that satisfy the RCD(K,N)$\mathsf {RCD}(K, N)$ condition. They are constructed by equipping the half‐plane, the hemisphere and the hyperbolic half‐plane with a two‐dimensional almost‐Riemannian structure and a measure that vanishes on their ...
Samuël Borza, Kenshiro Tashiro
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Sobolev meets Riesz: a characterization of weighted Sobolev spaces via weighted Riesz bounded variation space [PDF]
, 2023 David Cruz-Uribe +2 more
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Superlinear perturbations of a double‐phase eigenvalue problem
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract We consider a perturbed version of an eigenvalue problem for the double‐phase operator. The perturbation is superlinear, but need not satisfy the Ambrosetti–Robinowitz condition. Working on the Sobolev–Orlicz space W01,η(Ω)$ W^{1,\eta }_{0}(\Omega)$ with η(z,t)=α(z)tp+tq$ \eta (z,t)=\alpha (z)t^{p}+t^{q}$ for 1
Yunru Bai +2 more
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Construction of Optimal Interpolation Formulas in the Sobolev Space [PDF]
, 2022 Kh. M. Shadimetov +2 more
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Normalized solutions of the critical Schrödinger–Bopp–Podolsky system with logarithmic nonlinearity
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract In this paper, we study the following critical Schrödinger–Bopp–Podolsky system driven by the p$p$‐Laplace operator and a logarithmic nonlinearity: −Δpu+V(εx)|u|p−2u+κϕu=λ|u|p−2u+ϑ|u|p−2ulog|u|p+|u|p*−2uinR3,−Δϕ+a2Δ2ϕ=4π2u2inR3.$$\begin{equation*} {\begin{cases} -\Delta _p u+\mathcal {V}(\varepsilon x)|u|^{p-2}u+\kappa \phi u=\lambda |u|^{p-2 ...
Sihua Liang +3 more
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A Characterization of Sobolev Spaces on the Sphere and an Extension of Stolarsky’s Invariance Principle to Arbitrary Smoothness [PDF]
, 2013 Johann S. Brauchart, Josef Dick
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