A5076298721- Nonlinear Partial Differential Equations
- Advanced Mathematical Modeling in Engineering
- Geometric Analysis and Curvature Flows
- Macrophage Migration Inhibitory Factor
- Advanced Harmonic Analysis Research
UCLouvain
2023
We study the limiting behavior of minimizing $p$-harmonic maps from a bounded Lipschitz domain $\Omega \subset \mathbb{R}^{3}$ to compact connected Riemannian manifold without boundary and with finite fundamental group as $p \nearrow 2$. prove that there exists closed set $S_{*}$ length such converge locally harmonic map in \setminus S_{*}$. inside $\Omega$ singular is union straight line segments, it minimizes mass appropriate class admissible chains. Furthermore, we establish local global...
We establish universality of the renormalised energy for mappings from a planar domain to compact manifold, by approximating subquadratic polar convex functionals form $\int_\Omega f(|\mathrm{D} u|)\,\mathrm{d} x$. The analysis relies on condition that vortex map ${x}/{\lvert x\rvert}$ has finite and $t\mapsto f (\sqrt{t})$ is concave. derive leading order asymptotics provide detailed description convergence $\mathrm{W}^{1,1}$-almost minimisers, characterization second-order asymptotics. At...