2 citations · 4 across the 8 of their papers we have counts for
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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}|)…
Harnack inequality for solutions of the -Laplace equation under the precise non-logarithmic Zhikov's conditions
Igor Skrypnik, Yevgeniia Yevgenieva
We prove continuity and Harnack's inequality for bounded solutions to the equation $$ {\rm div}\big(|\nabla u|^{p(x)-2}\,\nabla u \big)=0, \quad p(x)= p + L\frac{\log\log\frac{1}{|…
Localized peaking regimes for quasilinear doubly degenerate parabolic equations
Andrey E. Shishkov, Yevgeniia A. Yevgenieva
Regimes with a singular peaking for a wide class of quasilinear second order parabolic equations are studied. On the basis of energy methods, precise estimates of a final profile o…