Yevgeniia A. Yevgenieva

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20182026

most citedA note on the weak Harnack inequality for unbounded minimizers of elliptic functionals with generalized Orlicz growth

2 citations · 4 across the 8 of their papers we have counts for

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Showing 2022 · math.APShow all

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math.AP2022★ 1 cited

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}|)…

math.AP2022

Harnack inequality for solutions of the $p (x)$ -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}{|…

Continuity and Harnack inequalities for local minimizers of non uniformly elliptic functionals with generalized Orlicz growth under the non-logarithmic conditions

Harnack inequality for solutions of the p(x)-Laplace equation under the precise non-logarithmic Zhikov's conditions

Harnack inequality for solutions of the $p (x)$ -Laplace equation under the precise non-logarithmic Zhikov's conditions