On the influence of gradient terms on the existence of solutions to Dirichlet problem for the $p$-Laplace equation
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 16 (2016) no. 1, pp. 130-142
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We consider the Dirichlet problem for the inhomogeneous $p$-Laplace equation with a nonlinear source and gradient term. The goal of the paper is to study the influence of the gradient term on the existence of radially symmetric solutions. Sufficient conditions for the existence of such solutions are given in explicit form through the data of the problem.
Keywords:
$p$-laplacian with a gradient term, a priori estimates, radially symmetric solutions.
@article{VNGU_2016_16_1_a7,
author = {Ar. S. Tersenov},
title = {On the influence of gradient terms on the existence of solutions to {Dirichlet} problem for the $p${-Laplace} equation},
journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
pages = {130--142},
publisher = {mathdoc},
volume = {16},
number = {1},
year = {2016},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VNGU_2016_16_1_a7/}
}
TY - JOUR AU - Ar. S. Tersenov TI - On the influence of gradient terms on the existence of solutions to Dirichlet problem for the $p$-Laplace equation JO - Sibirskij žurnal čistoj i prikladnoj matematiki PY - 2016 SP - 130 EP - 142 VL - 16 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VNGU_2016_16_1_a7/ LA - ru ID - VNGU_2016_16_1_a7 ER -
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Ar. S. Tersenov. On the influence of gradient terms on the existence of solutions to Dirichlet problem for the $p$-Laplace equation. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 16 (2016) no. 1, pp. 130-142. http://geodesic.mathdoc.fr/item/VNGU_2016_16_1_a7/