Blow-up behavior of a fractional Adams–Moser–Trudinger-type inequality in odd dimension

a cauchy-schwarz type inequality for fuzzy integrals

نامساوی کوشی-شوارتز در حالت کلاسیک در فضای اندازه فازی برقرار نمی باشد اما با اعمال شرط هایی در مسئله مانند یکنوا بودن توابع و قرار گرفتن در بازه صفر ویک می توان دو نوع نامساوی کوشی-شوارتز را در فضای اندازه فازی اثبات نمود.

Finite time blow up of solutions of the Kirchhoff-type equation with variable exponents

In this work, we investigate the following Kirchhoff-type equation with variable exponent nonlinearities u_{tt}-M(‖∇u‖²)△u+|u_{t}|^{p(x)-2}u_{t}=|u|^{q(x)-2}u. We proved the blow up of solutions in finite time by using modified energy functional method.

Blow up Results for Fractional Differential Equations and Systems

Boundary blow up solutions for fractional elliptic equations

In this article we study existence of boundary blow up solutions for some fractional elliptic equations including (−∆)u+ u = f in Ω, u = g on Ω, lim x∈Ω,x→∂Ω u(x) = ∞, where Ω is a bounded domain of class C2, α ∈ (0, 1) and the functions f : Ω → R and g : RN \ Ω̄ → R are continuous. We obtain existence of a solution u when the boundary value g blows up at the boundary and we get explosion rate f...

Blow-Up Behavior of Collocation Solutions to Hammerstein-Type Volterra Integral Equations

We analyze the blow-up behavior of one-parameter collocation solutions for Hammerstein-type Volterra integral equations (VIEs) whose solutions may blow up in finite time. To approximate such solutions (and the corresponding blow-up time), we will introduce an adaptive stepsize strategy that guarantees the existence of collocation solutions whose blow-up behavior is the same as the one for the e...