Bogdan Raictua

collaborators

Showing math.APShow all

3 papers · 1 filter

math.AP2026

Partial regularity for $A$ -quasiconvex variational problems of linear growth

Christopher Irving, Zhuolin Li, Bogdan RaiÅ£Ä

We prove that minimizers of variational integrals $E (v) = \int_{I^} c ◯ f (v) for v \in M (I^c ◯) such that A v = 0,$ are partially continuous prov…

math.AP2026

Partial regularity and higher integrability for A-quasiconvex variational problems

Zhuolin Li, Bogdan RaiÅ£Ä

We prove that minimizers of variational problems on open sets $I^c ◯ \subset R^{n}$ $$ \mbox{minimize}\quad \mathcal E(v)=\int_Î©f(v(x))\mathrm{d} x\quad\text{for } \mathscr{A}…

math.AP2025

Quasiconvexity and self-improving size estimates

Bogdan RaiÅ£Ä

We show that MÃ¼ller's $L lo g L$ bound $F (D u) \geq 0, D u \in L_{loc}^{p} (R^{n}) ⟹ F (D u) \in L lo g L_{loc} (R^{n})$ for $F = det$ and $p = n$ holds…

Partial regularity for A-quasiconvex variational problems of linear growth

Partial regularity and higher integrability for A-quasiconvex variational problems

Quasiconvexity and self-improving size estimates

Partial regularity for $A$ -quasiconvex variational problems of linear growth