Zhijie Chen

activity

20122026

most citedPositive Least Energy Solutions and Phase Separation for Coupled Schrodinger Equations with Critical Exponent: Higher Dimensional Case

173 citations · 228 across the 28 of their papers we have counts for

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math.AP2012★ 12 cited

Infinitely many sign-changing and semi-nodal solutions for a nonlinear Schrodinger system

Zhijie Chen, Chang-Shou Lin, Wenming Zou

We study the following coupled Schrödinger equations which have appeared as several models from mathematical physics: {displaymath} {cases}-Δu_1 +\la_1 u_1 = μ_1 u_1^3+βu_1 u_2^2,…

math.AP2012★ 1 cited

Standing Waves for nonlinear Schrodinger Equations involving critical growth

Jianjun Zhang, Zhijie Chen, Wenming Zou

We consider the following singularly perturbed nonlinear elliptic problem: $$-\e^2Δu+V(x)u=f(u),\ u\in H^1(\mathbb{R^N}),$$ where $N \geq 3$ and the nonlinearity $f$ is of critical g…

math.AP2012★ 173 cited

Positive Least Energy Solutions and Phase Separation for Coupled Schrodinger Equations with Critical Exponent: Higher Dimensional Case

Zhijie Chen, Wenming Zou

We study the following nonlinear Schrödinger system which is related to Bose-Einstein condensate: {displaymath} {cases}-Δu +\la_1 u = μ_1 u^{2^\ast-1}+βu^{\frac{2^\ast}{2}-1}v^{\fr…

Infinitely many sign-changing and semi-nodal solutions for a nonlinear Schrodinger system

Standing Waves for nonlinear Schrodinger Equations involving critical growth

Positive Least Energy Solutions and Phase Separation for Coupled Schrodinger Equations with Critical Exponent: Higher Dimensional Case

Positive Least Energy Solutions and Phase Separation for Coupled Schrodinger Equations with Critical Exponent: Higher Dimensional Case