Browsing by Author "86111bdc-6c1b-4a75-90b4-c2ee6e2b3f6e"

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    • 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 ...
    • Nonlocal s-minimal surfaces and Lawson cones 
      Dávila, Juan; Del Pino, Manuel; Wei, Juncheng (International Press of Boston, Inc., 2018)
      The nonlocal s-fractional minimal surface equation for Σ = ∂E where E is an open set in RN is given by HΣ s (p):= RN χE(x) − χEc(x) dx = 0 for all p ∈ Σ. |x − p|N+s Here 0 < s < 1, χ designates characteristic function, ...
    • 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 ...