The Dirichlet problem in an unbounded cone-like domain for second order elliptic quasilinear equations with variable nonlinearity exponent

In this paper we consider the Dirichlet problem for quasi-linear second-order elliptic equation with the $m(x)$-Laplacian and the strong nonlinearity on the right side in an unbounded cone-like domain. We study the behavior of weak solutions to the problem at infinity and we find the sharp expone...

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Bibliographic Details

Published in:	Electronic Journal of Qualitative Theory of Differential Equations
Main Authors:	Mikhail Borsuk, Damian Wiśniewski
Format:	Article
Language:	English
Published:	University of Szeged 2023-08-01
Subjects:	$m(x)$-laplacian elliptic equation unbounded domain cone-like domain
Online Access:	http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=10439