Results 51 to 60 of about 145 (135)
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
wiley +1 more source
Second‐order regularity for degenerate p$p$‐Laplace type equations with log‐concave weights
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract We consider weighted p$p$‐Laplace type equations with homogeneous Neumann boundary conditions in convex domains, where the weight is a log‐concave function which may degenerate at the boundary. In the case of bounded domains, we provide sharp global second‐order estimates. For unbounded domains, we prove local estimates at the boundary.
Carlo Alberto Antonini +2 more
wiley +1 more source
Современная наука и инновации, 2022 For the Riesz potential operator there are proved weighted estimates within the framework of weighted Lebesgue spaces with variable exponent. In case is a bounded do-main, the order potential is allowed to be variable as well.
Boris G. Vaculov +2 more
doaj
Regularity and separation for Grušin‐type p‐Laplace operators
Mathematische Nachrichten, Volume 298, Issue 5, Page 1727-1757, May 2025.Abstract We analyze p‐Laplace type operators with degenerate elliptic coefficients. This investigation includes Grušin‐type p‐Laplace operators. We describe a separation phenomenon in elliptic and parabolic p‐Laplace type equations, which provide an illuminating illustration of simple jump discontinuities of the corresponding weak solutions ...
Daniel Hauer, Adam Sikora
wiley +1 more source
Anisotropic interpolation theorems of Musielak-Orlicz type
Journal of Inequalities and Applications, 2016 Anisotropy is a common attribute of Nature, which shows different characterizations in different directions of all or part of the physical or chemical properties of an object. The anisotropic property, in mathematics, can be expressed by a fairly general
Jinxia Li, Ruirui Sun, Baode Li
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Mixed weak‐type inequalities in Euclidean spaces and in spaces of the homogeneous type
Mathematische Nachrichten, Volume 297, Issue 4, Page 1370-1406, April 2024.Abstract In this paper, we provide mixed weak‐type inequalities generalizing previous results in an earlier work by Caldarelli and the second author and also in the spirit of earlier results by Lorente et al. One of the main novelties is that, besides obtaining estimates in the Euclidean setting, results are provided as well in spaces of the ...
Gonzalo Ibañez‐Firnkorn +1 more
wiley +1 more source
BOUNDEDNESS OF LITTLEWOOD-PALEY OPERATORS WITH VARIABLE KERNEL ON THE WEIGHTED HERZ-MORREY SPACES WITH VARIABLE EXPONENT [PDF]
Surveys in Mathematics and its Applications, 2020 Let Ω∈L∞(ℝn)×L2(Sn-1) be a homogeneous function of degree zero. In this article, we obtain some boundedness of the parameterized Littlewood-Paley operators with variable kernels on weighted Herz-Morrey spaces with variable exponent.
Afif Abdalmonem +2 more
doaj
Weighted Sobolev estimates of the truncated Beurling operator
Bulletin of the London Mathematical Society, Volume 56, Issue 1, Page 232-239, January 2024.Abstract Given a bounded planar domain D$D$ with Wk+1,∞$W^{k+1, \infty }$ boundary, k∈Z+∪{0}$ k\in \mathbb {Z}^+\cup \lbrace 0\rbrace$, and a weight μ∈Ap,1
Yifei Pan, Yuan Zhang
wiley +1 more source
Exponent Sets and Muckenhoupt Ap-weights
, 2022 In the study of the weighted p-Laplace equation, it is often important to acquire good estimates of capacities. One useful tool for finding such estimates in metric spaces is exponent sets, which are sets describing the local dimensionality of the measure associated with the space.
openaire +2 more sources
Muckenhoupt-type weights and quantitative weighted estimates in the bessel setting
Mathematische ZeitschriftPart of the intrinsic structure of singular integrals in the Bessel setting is captured by Muckenhoupt-type weights. Anderson--Kerman showed that the Bessel Riesz transform is bounded on weighted $L^p_w$ if and only if $w$ is in the class $A_{p,λ}$. We introduce a new class of Muckenhoupt-type weights $\widetilde A_{p,λ}$ in the Bessel setting, which ...
Li, Ji +3 more
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