TY  - GEN
N1  - Bibliogr.: p. 17-20. ; összefoglalás angol nyelven
UR  - http://acta.bibl.u-szeged.hu/82283/
SN  - 1417-3875
CY  - Szeged
AV  - public
ID  - acta82283
TI  - The Dirichlet problem in an unbounded cone-like domain for second order elliptic quasilinear equations with variable nonlinearity exponent
EP  - 20
Y1  - 2023///
KW  - Elliptikus egyenlet
KW  -  Laplace-egyenlet
KW  -  Dirichlet probléma
N2  - 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 exponent of the solution decreasing rate. We show that the exponent is related to the least eigenvalue of the eigenvalue problem for the Laplace?Beltrami operator on the unit sphere.
A1  -  Borsuk Mikhail
A1  -  Wi?niewski Damian
ER  -