Jiankang Xia

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math.AP2026

Normalized groundstates for mixed $(p, 2)$ -Laplacian equations in $R^{2}$ with exponential critical growth

Jiankang Xia, Chao Zhong

We investigate normalized groundstates for mixed $(p, 2)$ -Laplacian equations \begin{align*} \begin{cases} -Δ_p u-Δu+λu=f(u) & \text{in } \mathbb{R}^2, \displaystyle \int_{\mathbb{R…

math.AP2021

Saddle solutions for the Choquard equation with a general nonlinearity

Jiankang Xia

In the spirit of Berestycki and Lions, we prove the existence of saddle type nodal solutions for the Choquard equation \[ -Δu + u= \big(I_α\ast F(u)\big)F'(u)\qquad \text{ in }\;\m…

Normalized groundstates for mixed (p,2)-Laplacian equations in R2 with exponential critical growth

Saddle solutions for the Choquard equation with a general nonlinearity

Normalized groundstates for mixed $(p, 2)$ -Laplacian equations in $R^{2}$ with exponential critical growth