L. Beznea

activity

20052026

most citedOn the quasi-regularity of non-sectorial Dirichlet forms by processes having the same polar sets

10 citations · 22 across the 19 of their papers we have counts for

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3 papers · 1 filter

math.AP2023

Positive solutions to semilinear Dirichlet problems with general boundary data

Lucian Beznea, Alexandra Teodor

We give a probabilistic representation of the solution to a semilinear elliptic Dirichlet problem with general (discontinuous) boundary data. The boundary behaviour of the solution…

math.AP2023

Nonlinear Dirichlet forms associated with quasiregular mappings

Camelia Beznea, Lucian Beznea, Michael Roeckner

If $(E, D)$ is a symmetric, regular, strongly local Dirichlet form on $L^{2} (X, m)$ , admitting a carré du champ operator $Γ$ , and $p > 1$ is a real number, then one can d…

math.AP2017

From Gaussian estimates for nonlinear evolution equations to the long time behavior of branching processes

L. Beznea, L. I. Ignat, J. D. Rossi

We study solutions to the evolution equation $u_{t} = Δ u - u + \sum_{k ⩾ 1} q_{k} u^{k}$ , $t > 0$ , in $R^{d}$ . Here the coefficients $q_{k} ⩾ 0$ verify $ \sum_{k\geqslant 1}q_k…