7 problems

Lambda-profile conjecture. $\Lambda$-shaped profiles should appear in $\Omega_{(0,1)}(u)$, so the inclusion in Theorem and Corollary might be strict.

Let $c_0$ be the limiting front speed, let $c_0^*=2\sqrt{-\lambda_0}$, and let $u^{\varepsilon}$ be the constructed pulsating front for sufficiently small $\lvert\varepsilon\rvert$…

Let $k>k^{\star}$. Let $\left(\hat{\varphi}_{1},\hat{\varphi}_{2}\right)$ and $\hat{c}$ be respectively the profile and the speed of a pulsating front solution…

Let $c^*>0$ be the speed of the pulsating front constructed when the first eigenvalue $\lambda_1<0$, and define … Here $\mu_{c,0}(\lambda)$ is the first eigenvalue of the operator…

Let $L$, $d$, $\alpha$, $k$, $f_{1}$ and $f_{2}$ be the parameters and functions defining the periodic competition problem, and let a bistable pulsating front solution mean a pulsa…

Let $a(x)$ and $f(x,u)$ be general diffusion and reaction coefficients satisfying the bistable assumptions and the assumptions on the spatial dependence stated in the source, and c…

Let $c_L^*$ denote the minimal speed of propagation of pulsating traveling fronts solving the model equation, where $L>0$ is the spatial period and the diffusion and growth-rate co…