3 problems

Let $\iota_3:(0,1)\to\mathbb{R}$ be the function defined by … Here $t_2^*$ is the endpoint appearing in the reduced five-bubble analysis. Second critical point conjecture. There sh…

Let $f_5$ be the limit function whose critical point determines the parameters $(\lambda_0,\lambda_1,\lambda_2,t)$ in the five-bubble existence theorem, and let $u_\varepsilon$ den…

Let $K\geq 0$ be bounded and satisfy the assumptions $(K_{1})$ and $(K_{2})$ stated in the paper, and let $s$ be the fractional exponent in the perturbed fractional Laplacian equat…