53 citations · 217 across the 49 of their papers we have counts for
6 papers · 2 filters
Semilinear elliptic equations with Dirichlet operator and singular nonlinearities
Tomasz Klimsiak
In the paper we consider elliptic equations of the form , where is the operator associated with a regular symmetric Dirichlet form, is a positive nontrivi…
Reduced measures for semilinear elliptic equations involving Dirichlet operators
Tomasz Klimsiak
We consider elliptic equations of the form (E) , where is a negative definite self-adjoint Dirichlet operator, is a function which is continuous and nonincrea…
Obstacle problem for evolution equations involving measure data and operator corresponding to semi-Dirichlet form
Tomasz Klimsiak
In the paper, we consider the obstacle problem, with one and two irregular barriers, for semilinear evolution equation involving measure data and operator corresponding to a semi-D…
Renormalized solutions of semilinear elliptic equations with general measure data
Tomasz Klimsiak, Andrzej Rozkosz
In the paper, we first propose a definition of renormalized solution of semilinear elliptic equation involving operator corresponding to a general (possibly nonlocal) symmetric reg…
Systems of semilinear parabolic variational inequalities with time-dependent convex obstacles
Tomasz Klimsiak, Andrzej Rozkosz, Leszek Slominski
We consider a system of seminlinear parabolic variational inequalities with time-dependent convex obstacles. We prove the existence and uniqueness of its solution. We also provide…
Large time behaviour of solutions to parabolic equations with Dirichlet operators and nonlinear dependence on measure data
Tomasz Klimsiak, Andrzej Rozkosz
We study large time behaviour of solutions of the Cauchy problem for equations of the form , where is the operator associated with a reg…