Tootfinder

A total of six medium sized tourtiere and three baking. First three are cooling down. Meat filling is a combination of mom's and father in law recipes. House smelling like when mom baked. All crusts are home-made.

The Berg 🫠
#drakensberg #southafrica

Multiple sign-changing solutions for semilinear subelliptic Dirichlet problem
Hua Chen, Hong-Ge Chen, Jin-Ning Li, Xin Liao
https://arxiv.org/abs/2510.10120 https://

Multiple sign-changing solutions for semilinear subelliptic Dirichlet problem
We study the following perturbation from symmetry problem for the semilinear subelliptic equation \[ \left\{ \begin{array}{cc} -\triangle_{X} u=f(x,u)+g(x,u) & \mbox{in}~Ω, \\[2mm] u\in H_{X,0}^{1}(Ω),\hfill \end{array} \right. \] where $\triangle_{X}=-\sum_{i=1}^{m}X_{i}^{*}X_{i}$ is the self-adjoint sub-elliptic operator associated with Hörmander vector fields $X=(X_{1},X_{2},\ldots,X_{m})$, $Ω$ is an open bounded subset in $\mathbb{R}^n$, and $H_{X,0}^{1}(Ω)$ denotes the weigh…

Local well-posedness for a class of semilinear Moore-Gibson-Thompson equations with subcritical nonlinearities
Flank D. M. Bezerra, Lu\'is M. Salge
https://arxiv.org/abs/2510.06944

Local well-posedness for a class of semilinear Moore-Gibson-Thompson equations with subcritical nonlinearities
In this paper, we study a class of higher-order semilinear evolution equations inspired by the Moore-Gibson-Thompson model introduced by Dell'Oro, Liverani and Pata (2023), involving strongly elliptic operators of order ($2m$) with homogeneous boundary conditions. The associated unbounded linear operator is a sectorial operator with zero belonging to the resolvent set, allowing the construction of fractional powers spaces, and the analysis of their spectral properties. We prove the local well-p…