4 papers
Global boundedness and normalized solutions to a -Laplacian equation
Raj Narayan Dhara, Matteo Rizzi
In the paper, we prove the existence of radial solutions to \begin{equation}\notag%\label{main-eq-abstarct} %\begin{aligned} -Î_p u+({\rm sgn}(p-s)+V(x))|u|^{p-2}u+λ|u|^{s-2}u=|u…
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} &-Îu-\fracμ{|x|^2}h(x)u+λu =f(u)\quad\text{in}\quad\mat…
Normalised solutions for -Laplacian equations with -supercritical growth
Raj Narayan Dhara, Matteo Rizzi
For and , we find normalised solutions to the equation \begin{align*} -Î_p u+(1+V(x))|u|^{p-2}u+λu&=|u|^{q-2}u\qquad\text{in }\\ \|u\|_2&=Ï\end{ali…
Normalized solutions of mass supercritical Schrodinger-Poisson equation with potential
Xueqin Peng, Matteo Rizzi
In this paper we prove the existence of normalized solutions to the following Schrödinger-Poisson equation $$ \begin{cases} -Îu…