4 papers · 1 filter
Sharp -regularity in dimensions and beyond for two classes of elliptic problems with critical unbounded coefficients
Cristian Cazacu, Adelina Călina
We establish sharp parameter thresholds governing -regularity of weak solutions in for two classes of elliptic problems with critical unbounded perturbations, in dime…
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…
The Hardy inequality and large time behaviour of the heat equation on
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 , $k\geq 0…
Weighted Hardy-Rellich type inequalities: improved best constants and symmetry breaking
Cristian Cazacu, Irina Fidel
When studying the weighted Hardy-Rellich inequality in with the full gradient replaced by the radial derivative the best constant becomes trivially larger or equal than in th…