Showing math.APShow all
3 papers · 1 filter
math.AP2025
Schrodinger-Poisson-Slater equations with nonlinearity subscaled near zero
Shibo Liu, Kanishka Perera
We study the following zero-mass Schr{ö}dinger-Poisson-Slater equation \[ - Îu + \left( \frac{1}{4 Ï| x |} \ast u^2 \right) u = f (| x |, u) \text{,} \qquad u \in \mathcal{D}^{1…
math.AP2025
Multiple solutions for Schr{ö}dinger-Poisson-Slater equations with critical growth
Shibo Liu
We obtain multiple solutions for the zero mass Schr{ö}dinger-Poisson-Slater equation \[ - Îu + \left( \frac{1}{4 Ï| x |} \ast u^2 \right) u = λg (x) | u |^{p - 2} u + | u |^{6…
math.AP2024
On -Laplacian equations in with nonlinearity sublinear at zero
Shibo Liu, Chunshan Zhao
Let be functions on satisfying , we consider -Laplacian problems of the form \[ \left\{ \begin{array} [c]{l}% -Î_{p(x)}u+V(x)\vert u…