Matteo Rizzi

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20232026

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math.AP2025

Normalized solutions for the nonlinear Schrödinger equation with potentials

Matteo Rizzi, Xueqin Peng

In this paper, we find normalized solutions to the following Schrödinger equation \begin{equation}\notag \begin{aligned} &-Δu-\fracμ{|x|^2}h(x)u+λu =f(u)\quad\text{in}\quad\mathbb{…

math.AP2025

Normalised solutions for $p$ -Laplacian equations with $L^{p}$ -supercritical growth

Raj Narayan Dhara, Matteo Rizzi

For $N \geq 3$ and $2 < p < N$ , we find normalised solutions to the equation \begin{align*} -Δ_p u+(1+V(x))|u|^{p-2}u+λu&=|u|^{q-2}u\qquad\text{in $R^{N}$ }\\ \|u\|_2&=ρ\end{align*…

Normalized solutions for the nonlinear Schrödinger equation with potentials

Normalised solutions for p-Laplacian equations with Lp-supercritical growth

Normalised solutions for $p$ -Laplacian equations with $L^{p}$ -supercritical growth