2 papers
math.AP2026
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…
math.AP2025
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…