Geodesic
G\r{a}rding's Inequality for Elliptic Operators with Degeneracy
Matematičeskie zametki, Tome 87 (2010) no. 2, pp. 201-216

Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper, we prove Gårding's weighted inequality for degenerate elliptic operators in an arbitrary (bounded or unbounded) domain of $n$-dimensional Euclidean space $\mathbb R^n$ and use this inequality to study the unique solvability of a specific variational problem. It is assumed that the lower coefficients of the operators under consideration belong to some weighted $L_p$-spaces.
Keywords: degenerate elliptic operator, Gårding's inequality, variational Dirichlet problem, elliptic operator, Euclidean space $\mathbb R^n$, Minkowski's inequality, Cauchy–Schwarz inequality. 
@article{MZM_2010_87_2_a3,
     author = {S. A. Iskhokov},
     title = {G\r{a}rding's {Inequality} for {Elliptic} {Operators} with {Degeneracy}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {201--216},
     publisher = {mathdoc},
     volume = {87},
     number = {2},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2010_87_2_a3/}
}
TY  - JOUR
AU  - S. A. Iskhokov
TI  - G\r{a}rding's Inequality for Elliptic Operators with Degeneracy
JO  - Matematičeskie zametki
PY  - 2010
SP  - 201
EP  - 216
VL  - 87
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2010_87_2_a3/
LA  - ru
ID  - MZM_2010_87_2_a3
ER  - 
%0 Journal Article
%A S. A. Iskhokov
%T G\r{a}rding's Inequality for Elliptic Operators with Degeneracy
%J Matematičeskie zametki
%D 2010
%P 201-216
%V 87
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2010_87_2_a3/
%G ru
%F MZM_2010_87_2_a3
S. A. Iskhokov. G\r{a}rding's Inequality for Elliptic Operators with Degeneracy. Matematičeskie zametki, Tome 87 (2010) no. 2, pp. 201-216. http://geodesic.mathdoc.fr/item/MZM_2010_87_2_a3/