Sentence examples for singular potentials from inspiring English sources

However, for more singular potentials, there are counterexamples to uniqueness.

In most of these papers, the authors deal with the elliptic problems involving singular potentials and critical exponents.

Recently, the Caginalp phase-field system with coupleddynamic boundary conditions, including the singular potentials, was presented in[9] and [10].

We consider the Dirichlet problem of semi-linear corner-degenerate elliptic equations with singular potentials in the subcritical case.

We consider Sturm Liouville operators on the line segment [0,1] with general regular singular potentials and separated boundary conditions.

These scalar elliptic equations related to singular potentials, together with the corresponding elliptic systems, arise naturally in a wide range of physical fields and various economical prototypes [9].

This is done within the range of subcritical coefficients of the singular potential, provided the control acts on an annular set around the singularity.

This class of differential equations has received all this attention, because it arises in the study of linear or nonlinear processes, including, for example, singular solutions of stationary or evolutionary equations, concentration of singularities in nonlinear PDEs, and Lane-Emden-Fowler-type equations with convection and singular potential.

The E Street Band are in hiatus, but Van Zandt remains convinced of the singular potential of rock'n'roll.

This has the similar sense of intimacy on the move, exploiting the car's singular potential as a partly private, partly public place.

And that makes Nokia a singular, potential fail-point for Windows Phone.