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

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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. 
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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/

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