Bogdan Raictua

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20242026

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math.AP2026

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

Christopher Irving, Zhuolin Li, Bogdan Raiţă

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

math.AP2025

Quasiconvexity and self-improving size estimates

Bogdan Raiţă

We show that Müller'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 f…

math.AP2024

Partial regularity and higher integrability for A-quasiconvex variational problems

Zhuolin Li, Bogdan Raiţă

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

Partial regularity for A-quasiconvex variational problems of linear growth

Quasiconvexity and self-improving size estimates

Partial regularity and higher integrability for A-quasiconvex variational problems

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