Sbornik. Mathematics, Tome 79 (1994) no. 2, pp. 335-346
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S. I. Pokhozhaev. Sharp a priori estimates for a quasilinear degenerate elliptic problem. Sbornik. Mathematics, Tome 79 (1994) no. 2, pp. 335-346. http://geodesic.mathdoc.fr/item/SM_1994_79_2_a5/
@article{SM_1994_79_2_a5,
author = {S. I. Pokhozhaev},
title = {Sharp a~priori estimates for a~quasilinear degenerate elliptic problem},
journal = {Sbornik. Mathematics},
pages = {335--346},
year = {1994},
volume = {79},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1994_79_2_a5/}
}
TY - JOUR
AU - S. I. Pokhozhaev
TI - Sharp a priori estimates for a quasilinear degenerate elliptic problem
JO - Sbornik. Mathematics
PY - 1994
SP - 335
EP - 346
VL - 79
IS - 2
UR - http://geodesic.mathdoc.fr/item/SM_1994_79_2_a5/
LA - en
ID - SM_1994_79_2_a5
ER -
%0 Journal Article
%A S. I. Pokhozhaev
%T Sharp a priori estimates for a quasilinear degenerate elliptic problem
%J Sbornik. Mathematics
%D 1994
%P 335-346
%V 79
%N 2
%U http://geodesic.mathdoc.fr/item/SM_1994_79_2_a5/
%G en
%F SM_1994_79_2_a5
A study is made of the equation $$ \Delta u+\frac1{|x|^\gamma }|u|^{p-2}u=h(x) $$ in a bounded domain $\Omega\subset\mathbb{R}^N$$(N\ge3)$ with homogeneous Dirichlet boundary conditions. Here $2 and $2\gamma>2N-(N-2)p$. Sharp best possible a priori estimates are established for the solution of this problem and for its first and second derivatives in the corresponding function spaces.
