Results 31 to 40 of about 472,112 (168)
Rigidity of balls in the solid mean value property for polyharmonic functions
Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.Abstract We show that balls are the only open bounded domains for which the mean value formula for polyharmonic functions holds. We do so by adapting an argument of Ü. Kuran for harmonic functions. We also, provide a quantitative version of the same result.
Nicola Abatangelo
wiley +1 more source
Quasibounded solutions to the complex Monge–Ampère equation
Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.Abstract We study the Dirichlet problem for the complex Monge–Ampère operator on B‐regular domains in Cn$\mathbb {C}^n$, allowing boundary data that is singular or unbounded. We extend the concept of pluri‐quasibounded functions on the domain to functions on the boundary, defined by the existence of plurisuperharmonic majorants that dominate their ...
Mårten Nilsson
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Supermarket Settings and Consumer Behavior: A Systematic Mapping Review and Future Research Avenues
International Journal of Consumer Studies, Volume 50, Issue 2, March 2026.ABSTRACT Supermarkets and related environments are not just places to buy groceries; they are complex environments filled with diverse stimuli that shape consumer behavior and decision‐making processes. Despite their increasing use as study settings, there remains a lack of comprehensive understanding regarding which supermarket‐type settings are ...
Aline Simonetti +3 more
wiley +1 more source
Abstract and Applied Analysis, 2008 We are concerned with fully nonlinear uniformly elliptic operators with a superlinear gradient term. We look for local estimates, such as weak Harnack inequality and local maximum principle, and their extension up to the boundary.
M. E. Amendola, L. Rossi, A. Vitolo
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Schauder estimates for parabolic p$p$‐Laplace systems
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract We establish the local Hölder regularity of the spatial gradient of bounded weak solutions u:ET→Rk$u\colon E_T\rightarrow \mathbb {R}^k$ to the nonlinear system of parabolic type ∂tu−div(a(x,t)μ2+|Du|2p−22Du)=0inET,$$\begin{equation*} \partial _tu-\operatorname{div}{\Big(a(x,t){\left(\mu ^2+|Du|^2\right)}^\frac{p-2}{2}Du\Big)}=0 \qquad \mbox ...
Verena Bögelein +4 more
wiley +1 more source
A Strengthening of the Harnack Inequality [PDF]
We prove the stronger version of Harnack\u27s inequality for positive harmonic functions defined on the unit ...
Svetlik, Marek
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Liouville properties for differential inequalities with (p,q)$(p,q)$ Laplacian operator
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract In this paper, we establish several Liouville‐type theorems for a class of nonhomogenenous quasilinear inequalities. In the first part, we prove various Liouville results associated with nonnegative solutions to Ps$P_s$ −Δpu−Δqu⩾us−1inΩ,$$\begin{equation} -\Delta _p u-\Delta _q u\geqslant u^{s-1} \, \text{ in }\, \Omega, \end{equation}$$where ...
Mousomi Bhakta +2 more
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An extension of Harnack type determinantal inequality
, 2017 We revisit and comment on the Harnack type determinantal inequality for contractive matrices obtained by Tung in the nineteen sixties and give an extension of the inequality involving multiple positive semidefinite ...
Zhang, Fuzhen +3 more
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Dimer models and conformal structures
Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 340-446, February 2026.Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala +3 more
wiley +1 more source
Reverse Smoothing Effects, Fine Asymptotics, and Harnack Inequalities for Fast Diffusion Equations
Boundary Value Problems, 2007 We investigate local and global properties of positive solutions to the fast diffusion equation in the good exponent range , corresponding to general nonnegative initial data.
Bonforte Matteo, Vazquez Juan Luis
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