8 citations · 8 across the 12 of their papers we have counts for
4 papers · 1 filter
On global estimates for systems with -growth in rough domains
M. Bulíček, S. Byun, P. Kaplický +2
We study regularity results for nonlinear parabolic systems of -Laplacian type with inhomogeneous boundary and initial data, with . We show bounds o…
Regularity for multi-phase variational problems
Cristiana De Filippis, Jehan Oh
We prove regularity for local minimizers of the \oh{multi-phase} energy: \begin{flalign*} w \mapsto \int_Ω\snr{Dw}^{p}+a(x)\snr{Dw}^{q}+b(x)\snr{Dw}^{s} \ dx, \end{flalig…
Interior and boundary higher integrability of very weak solutions for quasilinear parabolic equations with variable exponents
Karthik Adimurthi, Sun-Sig Byun, Jehan Oh
We prove boundary higher integrability for the (spatial) gradient of \emph{very weak} solutions of quasilinear parabolic equations of the form $$ \left\{ \begin{array}{ll} u_t - di…
Regularity Results of the Thin Obstacle Problem for the -Laplacian
Sun-sig Byun, Ki-ahm Lee, Jehan Oh +1
We study thin obstacle problems involving the energy functional with -growth. We prove higher integrability and Hölder regularity for the gradient of minimizers of the thin o…