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- Publications
- Influence
Ground State of N Coupled Nonlinear Schrödinger Equations in Rn,n≤3
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… Expand
On a two-dimensional elliptic problem with large exponent in nonlinearity
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… Expand
Spikes in two coupled nonlinear Schrödinger equations
Here we study the interaction and the configuration of spikes in a double condensate by analyzing least energy solutions of two coupled nonlinear Schrodinger equations which model Bose–Einstein… Expand
The stability of spike solutions to the one-dimensional Gierer—Meinhardt model
- David Iron, M. J. Ward, J. Wei
- Mathematics
- 15 March 2001
Abstract The stability properties of an N-spike equilibrium solution to a simplified form of the Gierer–Meinhardt activator–inhibitor model in a one-dimensional domain is studied asymptotically in… Expand
On Single Interior Spike Solutions Of Gierer-Meinhardt System: Uniqueness And Spectrum Estimates
- J. Wei
- Mathematics
- 1 August 1999
We study the interior spike solutions to a steady state problem of the shadow system of the Gierer–Meinhardt system arising from biological pattern formation. We first show that at a non-degenerate… Expand
Asymptotic behavior of a nonlinear fourth order eigenvalue problem
- J. Wei
- Mathematics
- 31 December 1996
Our purpose in this paper is to study the asymptotic behavior of the nonlinear eigenvalue problem, where {Omega} is a smooth bounded domain in R{sup 4}, {line_integral}(u) is an nonnegative smooth… Expand
Self-similar solutions for the anisotropic affine curve shortening problem
Abstract. Similarity between the roles of the group $SL(2,\bf R)$ on the equation for self-similar solutions of the anisotropic affine curve shortening problem and of the conformal group of $S^2$ on… Expand
Concentration on curves for nonlinear Schrödinger Equations
- M. A. Pino, M. Kowalczyk, J. Wei
- Mathematics
- 2007
We consider the problem
where p > 1, e > 0 is a small parameter, and V is a uniformly positive, smooth potential. Let Γ be a closed curve, nondegenerate geodesic relative to the… Expand
Convergence for a Liouville equation
Abstract. In this paper, we study the asymptotic behavior of solutions of the Dirichlet problem for the Liouville equation ¶¶
$ -\Delta u= \lambda {{K(x)e^u} \over {\int_{\Omega}K(x)e^u}} $¶¶on a… Expand
Spikes in Two-component Systems of Nonlinear Schrodinger Equations with Trapping Potentials
Abstract Recently, two-component systems of nonlinear Schrodinger equations with trap potentials have been well-known to describe a binary mixture of Bose–Einstein condensates called a double… Expand