Browsing by Author "692c7225-b735-449d-9df8-0b5b04cb753a"

Now showing items 1-3 of 3

    • Interior bubbling solutions for the critical Lin-Ni-Takagi problem in dimension 3 
      del Pino, Manuel; Musso, Monica; Román, Carlos; Wei, Juncheng (Springer New York LLC, 2019)
      We consider the problem of finding positive solutions of the problem Δu − λu + u 5 = 0 in a bounded, smooth domain Ω in ℝ 3 , under zero Neumann boundary conditions. Here λ is a positive number. We analyze the role of ...
    • Sign-changing blowing-up solutions for thecritical nonlinear heat equation 
      Pino, Manuel del; Musso, Mónica; Wei, Juncheng; Zheng, Youquan (Scuola Normale Superiore, 2020)
      Let Omega be a smooth bounded domain in R-n and denote the regular part of the Green function on Omega with Dirichlet boundary condition by H(x, y). Assume the integer k0 is sufficiently large, q is an element of Omega and ...
    • Type II Blow-up in the 5-dimensional Energy Critical Heat Equation 
      del Pino, Manuel; Musso, Monica; Wei, Jun Cheng (Springer Verlag, 2019)
      We consider the Cauchy problem for the energy critical heat equation {ut=Δu+|u|4n−2uinRn×(0,T)u(⋅,0)=u0inRn in dimension n = 5. More precisely we find that for given points q 1 ,q 2 ,..,q k and any sufficiently small T ...