C. Cazacu

activity

20242026

collaborators

4 papers

math.AP2026

Sharp $H^{2}$ -regularity in dimensions $N \geq 5$ and beyond for two classes of elliptic problems with critical unbounded coefficients

Cristian Cazacu, Adelina Călina

We establish sharp parameter thresholds governing $H^{2}$ -regularity of weak solutions in $H_{0}^{1}$ for two classes of elliptic problems with critical unbounded perturbations, in dime…

math.AP2025

Sharp second order inequalities with distance function to the boundary and applications to a p-Biharmonic singular problem

Cristian Cazacu, Teodor RuginÄ

In this paper, we prove generalizations to the L^p setting of the Hardy-Rellich inequalities on domains of R^N with singularity given by the distance function to the boundary. The…

math.AP2024

The Hardy inequality and large time behaviour of the heat equation on $R^{N - k} \times (0, \infty)^{k}$

Cristian Cazacu, Liviu I. Ignat, DragoÅ Manea

In this paper we study the large time asymptotic behaviour of the heat equation with Hardy inverse-square potential on corner spaces $R^{N - k} \times (0, \infty)^{k}$ , $k\geq 0…

math.AP2024

Weighted Hardy-Rellich type inequalities: improved best constants and symmetry breaking

Cristian Cazacu, Irina Fidel

When studying the weighted Hardy-Rellich inequality in $L^{2}$ with the full gradient replaced by the radial derivative the best constant becomes trivially larger or equal than in th…

Sharp H2-regularity in dimensions N≥5 and beyond for two classes of elliptic problems with critical unbounded coefficients

Sharp second order inequalities with distance function to the boundary and applications to a p-Biharmonic singular problem

The Hardy inequality and large time behaviour of the heat equation on RN−k×(0,∞)k

Weighted Hardy-Rellich type inequalities: improved best constants and symmetry breaking

Sharp $H^{2}$ -regularity in dimensions $N \geq 5$ and beyond for two classes of elliptic problems with critical unbounded coefficients

The Hardy inequality and large time behaviour of the heat equation on $R^{N - k} \times (0, \infty)^{k}$