Browsing by Author "10416aaf-edac-4899-bb62-2fa5969343fc"

Now showing items 1-8 of 8

    • Catenoidal layers for the Allen-Cahn equation in bounded domains 
      Agudelo, Oscar; Pino Manresa, Manuel del; Wei, Juncheng (Springer, 2017)
      This paper presents a new family of solutions to the singularly perturbed Allen-Cahn equation α2Δu + u(1 − u2) = 0 in a smooth bounded domain Ω ⊂ R3, with Neumann boundary condition and α > 0 a small parameter. These ...
    • Delaunay-type singular solutions for the fractional Yamabe problem 
      DelaTorre, Azahara; Pino Manresa, Manuel del; González, María del Mar; Wei, Juncheng (Springer, 2017)
      We construct Delaunay-type solutions for the fractional Yamabe problem with an isolated singularity(Formula Presented.)We follow a variational approach, in which the key is the computation of the fractional Laplacian in ...
    • Gluing methods for vortex dynamics in euler flows 
      Dávila, Juan; Pino Manresa, Manuel del; Musso, Mónica; Wei, Juncheng (Springer, 2020)
      A classical problem for the two-dimensional Euler flow for an incompressible fluid confined to a smooth domain is that of finding regular solutions with highly concentrated vorticities around N moving vortices. The formal ...
    • 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, ...
    • Nonlocal s-minimal surfaces and Lawson cones 
      Davila, Juan; Pino Manresa, Manuel del; Wei, Juncheng (International Press of Boston, 2018-05)
      The nonlocal s-fractional minimal surface equation for Sigma = partial derivative E where E is an open set in R-N is given by H-Sigma(s)(p) := integral(RN) chi E(x) - chi E-c(x)/vertical bar x - p vertical bar N + s dx ...
    • On the fractional Lane-Emden equation 
      Ávila, Juan D.; Dupaigne, Louis; Wei, Juncheng (American Mathematical Society, 2017)
      We classify solutions of finite Morse index of the fractional Lane-Emden equation (-Δ)su = |u|p-1u in ℝn.
    • 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 ...