Sentence examples for general potentials from inspiring English sources

Problems that can be solved include: 1d, 2d and 3d situations, general potentials, large classes of local and nonlocal nonlinearities, multi-components problems, and fast rotating gases.

In Section 3, we obtain some embedding results for the general potentials.

It might be also interesting to study the above mentioned abstract equations with more general potentials, see the paper [20].

We extend the results in [13] to a large class of weighted Sobolev embeddings and obtain some new embedding theorems for the general potentials and radially symmetric potentials.

In order to pass the results of to general potentials, many techniques like implicit function theorem and the Rouché theorem will be exploited.

All theorems obtained do not rely on the detailed nature of any specific potential assumed as a gravitational lens model, but on the overall differential-topological properties of general potentials.

We also sketch the general potential for applications of generative models in these different application areas.

We present a method for solving the reaction diffusion equation with general potential in free space.

For general potential, the equation can have a unique positive ground state and a number of excited states.

One hundred people turned up, and they spent the day discussing barley growing, barley processing, and the general potential of barley as a New York crop.

He noted its steady increases in drug cultivation, the widening influence of rebels and its general potential to destabilize the region, given Colombia's position between the Panama Canal and Venezuela, the largest foreign supplier of oil to the United States.