Sentence examples for measure nonnegative functions from inspiring English sources

Lemma 3.1 Let Ω ⊂ R N be smooth possibly unbounded and (H) 1 < p < N, p ≤ q + 1 < p ∗, p ∗ = N p N − p, V ( x ) and K ( x ) : R N ↦ R be measure nonnegative functions.

We study the Dirichlet problem,[formula]with 1<q<pandh, k∈L∞ nonnegative functions.

Let with be nonnegative functions.

where are nonnegative functions on.

(H4) All are nonnegative functions on.

where are nonnegative functions on and (2.12).

Assume that and are nonnegative functions on.

The nonnegative functions, are locally Hölder continuous.

Let and be nonnegative functions on.

with some and the nonnegative functions,,, where,.

Let and be two nonnegative functions.