5 problems

Concentration conjecture. As $\gamma$ varies in the stated regime, $u_\gamma$ converges simply to the characteristic function of the point $\{0\}$.

Let $s(d_I L-V+F)$ denote the principal eigenvalue and let $\mathcal{R}_0(d_I)$ denote the basic reproduction ratio in a time-periodic patch population model, where $d_I$ is the in…

Let $M^{D}_{\sigma,m,\Omega}+a$ be the nonlocal diffusion operator with Dirichlet boundary condition, where $m>2$, and let $\lambda_p(M^{D}_{\sigma,m,\Omega}+a)$ denote its general…

Let $\lambda_1$ be the generalized principal eigenvalue of the road–field system, let $\lambda_{Robin}$ be the generalized principal eigenvalue of the linearization of the correspo…

Let $\mathscr{L}$ be the uncontrolled elliptic generator on $\mathbb{R}^d$. For a function $f$, define … and let $\lambda^{\prime\prime}(f)$ be the corresponding generalized princi…