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Ground State of N Coupled Nonlinear Schrödinger Equations in Rn,n≤3
- Tai-Chia Lin, Juncheng Wei
- Mathematics
- 2 March 2005
We establish some general theorems for the existence and nonexistence of ground state solutions of steady-state N coupled nonlinear Schrödinger equations. The sign of coupling constants βij’s is…
Concentrating standing waves for the fractional nonlinear Schr\"odinger equation
- J. D'avila, M. Pino, Juncheng Wei
- Mathematics
- 8 July 2013
Classification of solutions of higher order conformally invariant equations
- Juncheng Wei, Xingwang Xu
- Mathematics
- 1 February 1999
Recently, there have been much analytic work on the conformally invariant operators as well as its associated differential equations. A well known second order conformally invariant operator comes…
On a two-dimensional elliptic problem with large exponent in nonlinearity
- X. Ren, Juncheng Wei
- Mathematics
- 1 February 1994
A semilinear elliptic equation on a bounded domain in R2 with large exponent in the nonlinear term is studied in this paper. We investigate positive solutions obtained by the variational method. It…
On Phase-Separation Models: Asymptotics and Qualitative Properties
- H. Berestycki, Tai-Chia Lin, Juncheng Wei, Chunyi Zhao
- Mathematics
- 1 April 2013
In this paper we study bound state solutions of a class of two-component nonlinear elliptic systems with a large parameter tending to infinity. The large parameter giving strong intercomponent…
Spikes in two coupled nonlinear Schrödinger equations
- Tai-Chia Lin, Juncheng Wei
- Mathematics
- 1 July 2005
On the location and profile of spike-layer solutions to singularly perturbed semilinear Dirichlet problems
- W. Ni, Juncheng Wei
- Mathematics
- 1995
Strongly interacting bumps for the Schrödinger–Newton equations
- Juncheng Wei, M. Winter
- Mathematics
- 15 January 2009
We study concentrated bound states of the Schrodinger–Newton equations h2Δψ−E(x)ψ+Uψ=0, ψ>0, x∊R3; ΔU+12|ψ|2=0, x∊R3; ψ(x)→0, U(x)→0 as |x|→∞. Moroz et al. [“An analytical approach to the…
On De Giorgi's conjecture in dimension N>9
- M. Pino, M. Kowalczyk, Juncheng Wei
- Mathematics
- 1 November 2011
A celebrated conjecture due to De Giorgi states that any bounded solution of the equation u + (1 u 2 )u = 0 in R N with @yNu > 0 must be such that its level setsfu = g are all hyperplanes, at least…
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