Sentence examples for adapting arguments from inspiring English sources

In order to overcome the lack of compactness of Sobolev's immersion, we apply the concentration-compactness principle by making use of a suitable bounded measure and adapting arguments from [5], where a p-Laplacian problem involving critical exponents is considered.

By adapting arguments in Föllmer and Imkeller (1993) and in Grorud and Pontier (1998), we deduce the insider martingale measure (mathbb {Q}) which plays an important role in the study of (semi martingale processes in the filtration (mathbb {G}).

Adapting the arguments of the proof of Theorem  1.3 in [21], we show.

Then we can easily prove the time continuity of the solution ((rho, u, h, k, varepsilon)) by adapting the arguments in [9, 13].

We here give the whole proof of Theorem 16 in the case of an energy solution u ∈ W 1, p ; the case of a general SOLA can be treated adapting the arguments valid for the energy case along the lines described in Sect.

Similarly, farm size can contribute to adapting an argument that has justified numerous efforts to reduce tenure insecurity (Tizale 2007).

He called the case an opportunity for law students to adapt oral arguments and hone their skills.

Despite all of this, some of the most vocal critics of McDonald's exclusion from the conference seem to have simply adapted their arguments and doubled down in support of the fast food giant.

We also adapt standard arguments to prove the boundedness of Palais-Smale sequences.

In what follows, we adapt the arguments in [2] with slight modifications.

We can now adapt the arguments in Corollary 4.7 to first show: Any automorphism-coinvariant module over a commutative local perfect ring is quasi-projective.