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pro vyhledávání: '"Hadzhy, Oleksandr V."'
We consider the Dirichlet problem for quasilinear elliptic equations with Musielak-Orlicz (p,q)-growth and non-logarithmic conditions on the coefficients. A sufficient Wiener-type condition for the regularity of a boundary point is established.
Externí odkaz:
http://arxiv.org/abs/2109.08643
We prove continuity and Harnack's inequality for bounded solutions to elliptic equations of the type $$ \begin{aligned} {\rm div}\big(|\nabla u|^{p-2}\,\nabla u+a(x)|\nabla u|^{q-2}\,\nabla u\big)=0,& \quad a(x)\geqslant0, \\ |a(x)-a(y)|\leqslant A|x
Externí odkaz:
http://arxiv.org/abs/2012.10960
Autor:
Hadzhy, Oleksandr V.1 (AUTHOR), Skrypnik, Igor I.1,2 (AUTHOR) ihor.skrypnik@gmail.com, Voitovych, Mykhailo V.1 (AUTHOR)
Publikováno v:
Mathematische Nachrichten. Sep2023, Vol. 296 Issue 9, p3892-3914. 23p.
Publikováno v:
Journal of Mathematical Sciences; Jun2024, Vol. 282 Issue 1, p13-27, 15p