The Hölder infinite Laplacian and Hölder extensions

A Hölder infinity Laplacian

In this paper we study the limit as p →∞ of minimizers of the fractional W -norms. In particular, we prove that the limit satisfies a non-local and non-linear equation. We also prove the existence and uniqueness of solutions of the equation. Furthermore, we prove the existence of solutions in general for the corresponding inhomogeneous equation. By making strong use of the barriers in this cons...

Well Posedness for a Class of Flexible Structure in Hölder Spaces

We characterize well-posedness in Hölder spaces for an abstract version of the equation (∗) u′′ + λu′′′ = c(∆u + μ∆u′) + f which model the vibrations of flexible structures possessing internal material damping and external force f . As a consequence, we show that in case of the Laplacian with Dirichlet boundary conditions, equation (*) is always well-posed provided 0 < λ < μ.

Weak reverse Hölder inequality of weakly A-harmonic sensors and Hölder continuity of A-harmonic sensors

* Correspondence: [email protected]. cn Department of Mathematics, Harbin Institute of Technology, Harbin 150001, PR China Abstract In this paper, we obtain the weak reverse Hölder inequality of weakly A-harmonic sensors and establish the Hölder continuity of A-harmonic sensors. Mathematics Subject Classification 2010: 58A10 · 35J60

Asymptotic Hölder Absolute Values

On Hölder fields clustering