2 citations · 3 across the 7 of their papers we have counts for
8 papers
Regularity for Doubly Nonlinear Equations in the Mixed Regime
Simone Ciani, Eurica Henriques, Mariia Savchenko +2
We study the local Hölder continuity of nonnegative solutions to doubly nonlinear equations by introducing a new technique that allows us to treat the cases where the equation is b…
On the continuity of solutions to the anisotropic -Laplacian with lower order term
Mariia Savchenko, Igor Skrypnik, Yevgeniia Yevgenieva
We establish the continuity of bounded solutions to the anisotropic elliptic equation $$-\sum\limits_{i=1}^N\Big(|u_{x_i}|^{p_i-2} u_{x_i}\Big)_{x_i}=f(x),\quad x\in Ω,\quad f(x)\i…
On the weak Harnack inequality for unbounded non-negative super-solutions of degenerate double-phase parabolic equations
Mariia Savchenko, Igor Skrypnik, Yevgeniia Yevgenieva
In the case , we give a proof of the weak Harnack inequality for non-negative super-solutions of degenerate double-phase parabolic equations under the additiona…
A note on the weak Harnack inequality for unbounded minimizers of elliptic functionals with generalized Orlicz growth
Mariia O. Savchenko, Igor I. Skrypnik, Yevgeniia A. Yevgenieva
We prove the weak Harnack inequality for the functions which belong to the corresponding De Giorgi classes under the additional assumption that $u\in L^{s}_{loc}(Ω)…
Harnack's inequality for degenerate double phase parabolic equations under the non-logarithmic Zhikov's condition
Mariia Savchenko, Igor Skrypnik, Yevgeniia Yevgenieva
We prove Harnack's type inequalities for bounded non-negative solutions of degenerate parabolic equations with growth $$ u_{t}-{\rm div}\left(\mid \nabla u \mid^{p-2}\nabla…
Continuity and Harnack inequalities for local minimizers of non uniformly elliptic functionals with generalized Orlicz growth under the non-logarithmic conditions
Maria O. Savchenko, Igor I. Skrypnik, Yevgeniia A. Yevgenieva
We study the qualitative properties of functions belonging to the corresponding De Giorgi classes \begin{equation*} \int\limits_{B_{r(1-σ)}(x_{0})}\,\varPhi(x, |\nabla(u-k)_{\pm}|)…