Sentence examples for without potentials from inspiring English sources

The following (L^{p}) estimates for the higher-order elliptic equations without potentials are well known, cf. [16, 18].

We would like to mention earlier results on the existence of entire solutions of Schrödinger type equations with or without potentials, which was studied in [1] [3] (see references therein).

The proof of Theorem 1.9 is given in Section 3 based on results in previous section and (L^{p}) estimates for the higher-order elliptic equations without potentials in [16, 18].

International editions are not without potential complications.

Unlike the blastocyst, she was without potential.

The trend is not without potential downsides.

The approach is not without potential problems.

Mr. Nader is not without potential vulnerabilities.

The decision is not without potential downsides.

But it isn't without potential pitfalls.

Still, their opposition is not without potential consequences.