2 citations · 3 across the 6 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…
Qualitative properties of solutions to parabolic anisotropic equations: Part I -- Expansion of positivity
Simone Ciani, Eurica Henriques, Mariia Savchenko +1
We prove expansion of positivity and reduction of the oscillation results to the local weak solutions to a doubly nonlinear anisotropic class of parabolic differential equations wi…
Qualitative properties of solutions to parabolic anisotropic equations: Part II. The anisotropic Trudinger's equation
Simone Ciani, Eurica Henriques, Mariia O. Savchenko +1
We study the local regularity properties of weak solutions to a special class of anisotropic doubly nonlinear parabolic operators, whose prototype is the anisotropic Trudinger's eq…
Parabolic De Giorgi classes with doubly nonlinear, nonstandard growth: local boundedness under exact integrability assumptions
Simone Ciani, Eurica Henriques, Mariia O. Savchenko +1
We define a suitable class of functions bearing unbalanced energy estimates, that are embodied by local weak subsolutions to doubly nonlinear, double-phase, Orlicz-…
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)…
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}|)…