Results 111 to 120 of about 5,230,860 (246)
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,$$\begin{equation*} \partial _tu-\operatorname{div}{\Big(a(x,t){\left(\mu ^2+|Du|^2\right)}^\frac{p-2}{2}Du\Big)}=0 \qquad \mbox ...
Verena Bögelein +4 more
wiley +1 more source
Liouville properties for differential inequalities with (p,q)$(p,q)$ Laplacian operator
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract In this paper, we establish several Liouville‐type theorems for a class of nonhomogenenous quasilinear inequalities. In the first part, we prove various Liouville results associated with nonnegative solutions to Ps$P_s$ −Δpu−Δqu⩾us−1inΩ,$$\begin{equation} -\Delta _p u-\Delta _q u\geqslant u^{s-1} \, \text{ in }\, \Omega, \end{equation}$$where ...
Mousomi Bhakta +2 more
wiley +1 more source
Existence of solutions to Burgers equations in domains that can be transformed into rectangles
Electronic Journal of Differential Equations, 2016 This work is concerned with Burgers equation $\partial _{t}u+u\partial_x u-\partial _x^2u=f$ (with Dirichlet boundary conditions) in the non rectangular domain $\Omega =\{(t,x)\in R^2 ...
Yassine Benia, Boubaker-Khaled Sadallah
doaj
Potential trace inequalities via a Calderón‐type theorem
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract In this paper, we develop a general theoretical tool for the establishment of the boundedness of notoriously difficult operators (such as potentials) on certain specific types of rearrangement‐invariant function spaces from analogous properties of operators that are easier to handle (such as fractional maximal operators).
Zdeněk Mihula +2 more
wiley +1 more source
Harmonic maps to the circle with higher dimensional singular set
Proceedings of the London Mathematical Society, Volume 132, Issue 3, March 2026.Abstract In a closed, oriented ambient manifold (Mn,g)$(M^n,g)$ we consider the problem of finding S1$\mathbb {S}^1$‐valued harmonic maps with prescribed singular set. We show that the boundary of any oriented (n−1)$(n-1)$‐submanifold can be realised as the singular set of an S1$\mathbb {S}^1$‐valued map, which is classically harmonic away from the ...
Marco Badran
wiley +1 more source
Compactness of the canonical solution operator on Lipschitz q-pseudoconvex boundaries
Electronic Journal of Differential Equations, 2019 Let $\Omega\subset\mathbb{C}^n$ be a bounded Lipschitz q-pseudoconvex domain that admit good weight functions. We shall prove that the canonical solution operator for the $\overline{\partial}$-equation is compact on the boundary of $\Omega$ and is ...
Sayed Saber
doaj
Obstructions to homotopy invariance of loop coproduct via parameterized fixed‐point theory
Journal of Topology, Volume 19, Issue 1, March 2026.Abstract Given f:M→N$f:M \rightarrow N$ a homotopy equivalence of compact manifolds with boundary, we use a construction of Geoghegan and Nicas to define its Reidemeister trace [T]∈π1st(LN,N)$[T] \in \pi _1^{st}(\mathcal {L}N, N)$. We realize the Goresky–Hingston coproduct as a map of spectra, and show that the failure of f$f$ to entwine the spectral ...
Lea Kenigsberg, Noah Porcelli
wiley +1 more source
Maximizers for the Strichartz and the Sobolev-Strichartz inequalities for the Schrodinger equation
Electronic Journal of Differential Equations, 2009 In this paper, we first show that there exists a maximizer for the non-endpoint Strichartz inequalities for the Schrodinger equation in all dimensions based on the recent linear profile decomposition result.
Shuanglin Shao
doaj
On a class of fractional differential equations in a Sobolev space
, 2012 G. Mophou, G. N’Guérékata
semanticscholar +1 more source
Every superposition operator mapping one Sobolev space into another is continuous
, 1979 M. Marcus, V. Mizel
semanticscholar +1 more source