Results 21 to 30 of about 1,359,151 (113)
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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Harnack-Ungleichungen und Anwendungen auf stochastische Gleichungen [PDF]
, 2009 Ouyang S-X. Harnack inequalities and applications for stochastic equations. Bielefeld (Germany): Bielefeld University; 2009.In dieser Dissertation studieren wir hauptsächlich Wangs Harnack-Ungleichungen und ihre Anwendungen auf Übergangshalbgruppen, die ...
Ouyang, Shun-Xiang
core
A note on the weak Harnack inequality for unbounded minimizers of elliptic functionals with generalized Orlicz growth [PDF]
, 2023 We prove the weak Harnack inequality for the functions $u$ which belong to the corresponding De Giorgi classes $DG^{-}(\Omega)$ under the additional assumption that $u\in L^{s}_{loc}(\Omega)$ with some $s> 0$.
Savchenko, Mariia O. +2 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
Harnack Inequality and Fundamental Solution for Degenerate Hypoelliptic Operators [PDF]
, 2017 In this thesis we study subelliptic operators in divergence form on R^N, and we are interested in establishing Harnack inequalities related to these operators in various contexts.
Battaglia, Erika <1990>
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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
doaj
Journal of Function Spaces, Volume 2026, Issue 1, 2026.This paper studies generalized Wijsman convergence for sequences of nonempty closed subsets of an idempotent bicomplex metric space. Let ρ = d1e1 + d2e2, where d1 and d2 are metrics on the same underlying set X. For a nonempty subset A of X, we define the bicomplex point‐to‐set distance by ρ(x, A) = d1(x, A)e1 + d2(x, A)e2.
Ameni Gargouri +4 more
wiley +1 more source
Electronic Journal of Differential Equations, 2016 We study a class of second-order degenerate parabolic equations in divergent form. We prove two analogues of the Harnack inequality, one for non-negative weak solutions, an another for non-negative solutions.
Sarvan T. Huseynov
doaj
Crossing estimates for the Ising model on general s‐embeddings
Proceedings of the London Mathematical Society, Volume 131, Issue 4, October 2025.Abstract We prove Russo–Seymour–Welsh‐type crossing estimates for the FK–Ising model on general s‐embeddings whose origami map has an asymptotic Lipschitz constant strictly smaller than 1, provided it satisfies a mild non‐degeneracy assumption. This result extends the work of Chelkak and provides a general framework to prove that the usual connection ...
Rémy Mahfouf
wiley +1 more source
First‐order Sobolev spaces, self‐similar energies and energy measures on the Sierpiński carpet
Communications on Pure and Applied Mathematics, Volume 78, Issue 9, Page 1523-1608, September 2025.Abstract For any p∈(1,∞)$p \in (1,\infty)$, we construct p$p$‐energies and the corresponding p$p$‐energy measures on the Sierpiński carpet. A salient feature of our Sobolev space is the self‐similarity of energy. An important motivation for the construction of self‐similar energy and energy measures is to determine whether or not the Ahlfors regular ...
Mathav Murugan, Ryosuke Shimizu
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