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math.AP2019★ 2 cited
{Localized nodal solutions for Laplacian equations with critical exponents in
Fengshuang Gao, Yuxia Guo
In this paper, we consider the existence of localized sign-changing solutions for the Laplacian nonlinear Schrödinger equation $$ -ε^pΔ_pu+V(x)|u|^{p-2}u=|u|^{p^*-2}u+μ|u|^{q-2…
math.AP2019★ 4 cited
Solutions for fractional operator problem via local Pohozaev identities
Yuxia Guo, Ting Liu, Jianjun Nie
We consider the following fractional Schrödinger equation involving critical exponent: \begin{equation*} \left\{\begin{array}{ll} (-Δ)^s u+V(|y'|,y'')u=u^{2^*_s-1} \ \hbox{ in } \…