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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

351 17- PDF

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

112 15- PDF

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

169 14- PDF

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

204 13

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

156 12- PDF

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

60 11

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

53 10

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

148 10- PDF

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

105 10

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

96 9