Interpolation inequalities, nonlinear flows, boundary terms, optimality and linearization

N = 1, Ω = R.. The proof consists of a tedious analysis of all possibilities. Apply Corollary 3.1. Here we use again reiteration. There is nothing to prove! Case 9.. This follows

Brézis, H., Nirenberg, L.: Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents.. Caffarelli, L., Kohn, R., Nirenberg, L.: First order

Given its prevalence in many systems, understanding how multichannel feeding affects food-web stability, especially in comparison to the more commonly used models that have only

After the actuator contribution required to achieve the desired position of the end-effector is applied to the model, and the position of the nodes is updated, the readings from

Abstract — The purpose of this paper is to explain the phenomenon of symmetry breaking for optimal functions in functional inequalities by the numerical computations of some well

In this paper we discuss the existence of extremal functions in two families of interpolation inequalities introduced in [2, 4]: some of the Caffarelli-Kohn-Nirenberg inequalities

On the Caffarelli-Kohn-Nirenberg inequalities: sharp con- stants, existence (and nonexistence), and symmetry of extremal functions.. On the best constant for a weighted

Explicit constants in Harnack inequalities and regularity estimates, with an application to the fast diffusion equation (supplementary material).