Quantification

Existential indicators in medical research papers

This study investigates the role of existentials in the construction of medical knowledge
and how they manoeuvre argumentation in scientific research papers. Corpus analysis
reveals that some grammatical environments appear to be chosen on epistemological
grounds since they are frequently employed in medical writing to encode and disseminate
evidence-based information. Thanks to their semantics, existentials form a privileged
environment in which to tackle medical discourse from a quantitative angle, especially

Glueing a peak to a non-zero limiting profile for a critical Moser–Trudinger equation

Druet proved that for any given sequence of Moser–Trudinger type nonlinearities with critical growth, and any sequence of solutions to the corresponding semilinear problem for the laplacian operator which converges weakly in H^1_0 to some u_∞, then the Dirichlet energy is quantified, namely there exists an integer N≥0 such that the energy of the solutions converges to 4πN plus the Dirichlet energy of u_∞. As a crucial step to get the general existence results of [7], it was more recently proved in [8] that, for a specific class of nonlinearities (see (2)), the loss of compactness (i.e.

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